1
|
Satoori S, Mahdavifar S, Vahedi J. Quantum correlations in the frustrated XY model on the honeycomb lattice. Sci Rep 2023; 13:16034. [PMID: 37749292 PMCID: PMC10520029 DOI: 10.1038/s41598-023-43080-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2022] [Accepted: 09/19/2023] [Indexed: 09/27/2023] Open
Abstract
We have investigated the spin-1/2 XY frustrated antiferromagnetic Heisenberg honeycomb model, which features an intermediate region in its ground state phase diagram that is not well understood. The two dominant phases in the diagram are the quantum spin-liquid (QSL) and the antiferromagnetic Ising order. Quantum correlations suggest that the QSL phase is likely to exhibit entanglement. To explore this possibility, we utilized numerical Lanczos and density matrix renormalization group (DMRG) methods to calculate concurrence, quantum discord (QD), and entanglement entropy. The results of our study indicate the existence of quantum entanglement within the intermediate region, implying a greater probability for the dominance of the quantum spin-liquid (QSL) phase over the antiferromagnetic Ising order. This discovery underscores the importance of considering quantum correlations in comprehending the model's behavior and provides insight into the complex nature of quantum systems.
Collapse
Affiliation(s)
- Sahar Satoori
- Department of Physics, University of Guilan, Rasht, 45196-313, Iran
| | - Saeed Mahdavifar
- Department of Physics, University of Guilan, Rasht, 45196-313, Iran.
| | - Javad Vahedi
- School of Engineering and Science, Jacobs University, Campus Ring 1, 28759, Bremen, Germany
- Department of Physics, Sari Branch, Islamic Azad University, 48161-19318, Sari, Iran
| |
Collapse
|
2
|
Li J, Cheng C, Paiva T, Lin HQ, Mondaini R. Giant Magnetoresistance in Hubbard Chains. PHYSICAL REVIEW LETTERS 2018; 121:020403. [PMID: 30085764 DOI: 10.1103/physrevlett.121.020403] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/21/2018] [Indexed: 06/08/2023]
Abstract
We use numerically unbiased methods to show that the one-dimensional Hubbard model with periodically distributed on-site interactions already contains the minimal ingredients to display the phenomenon of magnetoresistance; i.e., by applying an external magnetic field, a dramatic enhancement on the charge transport is achieved. We reach this conclusion based on the computation of the Drude weight and of the single-particle density of states, applying twisted boundary condition averaging to reduce finite-size effects. The known picture that describes the giant magnetoresistance, by interpreting the scattering amplitudes of parallel or antiparallel polarized currents with local magnetizations, is obtained without having to resort to different entities; itinerant and localized charges are indistinguishable.
Collapse
Affiliation(s)
- Jian Li
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Chen Cheng
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Thereza Paiva
- Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68.528, 21941-972 Rio de Janeiro, Brazil
| | - Hai-Qing Lin
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Rubem Mondaini
- Beijing Computational Science Research Center, Beijing 100193, China
| |
Collapse
|
3
|
Plekhanov K, Vasić I, Petrescu A, Nirwan R, Roux G, Hofstetter W, Le Hur K. Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model. PHYSICAL REVIEW LETTERS 2018; 120:157201. [PMID: 29756857 DOI: 10.1103/physrevlett.120.157201] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2017] [Revised: 11/13/2017] [Indexed: 06/08/2023]
Abstract
Recently, the frustrated XY model for spins 1/2 on the honeycomb lattice has attracted a lot of attention in relation with the possibility to realize a chiral spin liquid state. This model is relevant to the physics of some quantum magnets. Using the flexibility of ultracold atom setups, we propose an alternative way to realize this model through the Mott regime of the bosonic Kane-Mele-Hubbard model. The phase diagram of this model is derived using bosonic dynamical mean-field theory. Focusing on the Mott phase, we investigate its magnetic properties as a function of frustration. We do find an emergent chiral spin state in the intermediate frustration regime. Using exact diagonalization we study more closely the physics of the effective frustrated XY model and the properties of the chiral spin state. This gapped phase displays a chiral order, breaking time-reversal and parity symmetry, but is not topologically ordered (the Chern number is zero).
Collapse
Affiliation(s)
- Kirill Plekhanov
- LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
- Centre de Physique Théorique, Ecole Polytechnique, CNRS, Université Paris-Saclay, F-91128 Palaiseau, France
| | - Ivana Vasić
- Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, 11080 Belgrade, Serbia
| | - Alexandru Petrescu
- Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA
| | - Rajbir Nirwan
- Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main, Germany
| | - Guillaume Roux
- LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
| | - Walter Hofstetter
- Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main, Germany
| | - Karyn Le Hur
- Centre de Physique Théorique, Ecole Polytechnique, CNRS, Université Paris-Saclay, F-91128 Palaiseau, France
| |
Collapse
|
4
|
de Léséleuc S, Barredo D, Lienhard V, Browaeys A, Lahaye T. Optical Control of the Resonant Dipole-Dipole Interaction between Rydberg Atoms. PHYSICAL REVIEW LETTERS 2017; 119:053202. [PMID: 28949733 DOI: 10.1103/physrevlett.119.053202] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/09/2017] [Indexed: 06/07/2023]
Abstract
We report on the local control of the transition frequency of a spin 1/2 encoded in two Rydberg levels of an individual atom by applying a state-selective light shift using an addressing beam. With this tool, we first study the spectrum of an elementary system of two spins, tuning it from a nonresonant to a resonant regime, where "bright" (super-radiant) and "dark" (subradiant) states emerge. We observe the collective enhancement of the microwave coupling to the bright state. We then show that after preparing an initial single spin excitation and letting it hop due to the spin-exchange interaction, we can freeze the dynamics at will with the addressing laser, while preserving the coherence of the system. In the context of quantum simulation, this scheme opens exciting prospects for engineering inhomogeneous XY spin Hamiltonians or preparing spin-imbalanced initial states.
Collapse
Affiliation(s)
- Sylvain de Léséleuc
- Laboratoire Charles Fabry, UMR 8501, Institut d'Optique, CNRS, Univ Paris Sud 11, 2 Avenue Augustin Fresnel, 91127 Palaiseau cedex, France
| | - Daniel Barredo
- Laboratoire Charles Fabry, UMR 8501, Institut d'Optique, CNRS, Univ Paris Sud 11, 2 Avenue Augustin Fresnel, 91127 Palaiseau cedex, France
| | - Vincent Lienhard
- Laboratoire Charles Fabry, UMR 8501, Institut d'Optique, CNRS, Univ Paris Sud 11, 2 Avenue Augustin Fresnel, 91127 Palaiseau cedex, France
| | - Antoine Browaeys
- Laboratoire Charles Fabry, UMR 8501, Institut d'Optique, CNRS, Univ Paris Sud 11, 2 Avenue Augustin Fresnel, 91127 Palaiseau cedex, France
| | - Thierry Lahaye
- Laboratoire Charles Fabry, UMR 8501, Institut d'Optique, CNRS, Univ Paris Sud 11, 2 Avenue Augustin Fresnel, 91127 Palaiseau cedex, France
| |
Collapse
|
5
|
Angelone A, Mezzacapo F, Pupillo G. Superglass Phase of Interaction-Blockaded Gases on a Triangular Lattice. PHYSICAL REVIEW LETTERS 2016; 116:135303. [PMID: 27081986 DOI: 10.1103/physrevlett.116.135303] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2015] [Indexed: 06/05/2023]
Abstract
We investigate the quantum phases of monodispersed bosonic gases confined to a triangular lattice and interacting via a class of soft-shoulder potentials. The latter correspond to soft-core potentials with an additional hard-core onsite interaction. Using exact quantum Monte Carlo simulations, we show that the low temperature phases for weak and strong interactions following a temperature quench are a homogeneous superfluid and a glass, respectively. The latter is an insulating phase characterized by inhomogeneity in the density distribution and structural disorder. Remarkably, we find that for intermediate interaction strengths a superglass occurs in an extended region of the phase diagram, where glassy behavior coexists with a sizable finite superfluid fraction. This glass phase is obtained in the absence of geometrical frustration or external disorder and is a result of the competition of quantum fluctuations and cluster formation in the corresponding classical ground state. For high enough temperature, the glass and superglass turn into a floating stripe solid and a supersolid, respectively. Given the simplicity and generality of the model, these phases should be directly relevant for state-of-the-art experiments with Rydberg-dressed atoms in optical lattices.
Collapse
Affiliation(s)
- Adriano Angelone
- icFRC, IPCMS (UMR 7504) and ISIS (UMR 7006), Université de Strasbourg and CNRS, 67000 Strasbourg, France
| | - Fabio Mezzacapo
- icFRC, IPCMS (UMR 7504) and ISIS (UMR 7006), Université de Strasbourg and CNRS, 67000 Strasbourg, France
| | - Guido Pupillo
- icFRC, IPCMS (UMR 7504) and ISIS (UMR 7006), Université de Strasbourg and CNRS, 67000 Strasbourg, France
| |
Collapse
|
6
|
Sedrakyan TA, Galitski VM, Kamenev A. Statistical Transmutation in Floquet Driven Optical Lattices. PHYSICAL REVIEW LETTERS 2015; 115:195301. [PMID: 26588392 DOI: 10.1103/physrevlett.115.195301] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/10/2015] [Indexed: 06/05/2023]
Abstract
We show that interacting bosons in a periodically driven two dimensional (2D) optical lattice may effectively exhibit fermionic statistics. The phenomenon is similar to the celebrated Tonks-Girardeau regime in 1D. The Floquet band of a driven lattice develops the moat shape, i.e., a minimum along a closed contour in the Brillouin zone. Such degeneracy of the kinetic energy favors fermionic quasiparticles. The statistical transmutation is achieved by the Chern-Simons flux attachment similar to the fractional quantum Hall case. We show that the velocity distribution of the released bosons is a sensitive probe of the fermionic nature of their stationary Floquet state.
Collapse
Affiliation(s)
- Tigran A Sedrakyan
- William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
- Physics Frontier Center and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA
| | - Victor M Galitski
- Joint Quantum Institute and Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
- School of Physics, Monash University, Melbourne, Victoria 3800, Australia
| | - Alex Kamenev
- William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
| |
Collapse
|
7
|
Sedrakyan TA, Glazman LI, Kamenev A. Spontaneous formation of a nonuniform chiral spin liquid in a moat-band lattice. PHYSICAL REVIEW LETTERS 2015; 114:037203. [PMID: 25659019 DOI: 10.1103/physrevlett.114.037203] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2014] [Indexed: 06/04/2023]
Abstract
A number of lattices exhibit moatlike band structures, i.e., a band with infinitely degenerate energy minima attained along a closed line in the Brillouin zone. If such a lattice is populated with hard-core bosons, the degeneracy prevents their condensation. At half-filling, the system is equivalent to the s=1/2 XY model at a zero magnetic field, while the absence of condensation translates into the absence of magnetic order in the XY plane. Here, we show that the ground state breaks time reversal as well as inversion symmetries. This state, which may be identified with the chiral spin liquid, has a bulk gap and chiral gapless edge excitations. The applications of the developed analytical theory include an explanation of recent numerical findings and a suggestion for the chiral spin liquid realizations in experiments with cold atoms in optical lattices.
Collapse
Affiliation(s)
- Tigran A Sedrakyan
- William I. Fine Theoretical Physics Institute and Department of Physics, University of Minnesota, Minneapolis, Minnesota 55455, USA and Physics Frontier Center and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA
| | - Leonid I Glazman
- Department of Physics, Yale University, New Haven, Connecticut 06520, USA
| | - Alex Kamenev
- William I. Fine Theoretical Physics Institute and Department of Physics, University of Minnesota, Minneapolis, Minnesota 55455, USA
| |
Collapse
|
8
|
Zhu Z, Huse DA, White SR. Unexpected z-direction Ising antiferromagnetic order in a frustrated spin-1/2 J1-J2 XY model on the honeycomb lattice. PHYSICAL REVIEW LETTERS 2013; 111:257201. [PMID: 24483752 DOI: 10.1103/physrevlett.111.257201] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/10/2013] [Revised: 11/24/2013] [Indexed: 06/03/2023]
Abstract
Using the density matrix renormalization group on wide cylinders, we study the phase diagram of the spin-1/2 XY model on the honeycomb lattice, with first-neighbor (J1=1) and frustrating second-neighbor (J2>0) interactions. For the intermediate frustration regime 0.22≲J2≲0.36, we find a surprising antiferromagnetic Ising phase, with ordered moments pointing along the z axis, despite the absence of any S(z)S(z) interactions in the Hamiltonian. Surrounding this phase as a function of J2 are antiferromagnetic phases with the moments pointing in the x-y plane for small J2 and a close competition between an x-y plane magnetic collinear phase and a dimer phase for large values of J2. We do not find any spin-liquid phases in this model.
Collapse
Affiliation(s)
- Zhenyue Zhu
- Department of Physics and Astronomy, University of California, Irvine, California 92697, USA
| | - David A Huse
- Physics Department, Princeton University, Princeton, New Jersey 08544, USA
| | - Steven R White
- Department of Physics and Astronomy, University of California, Irvine, California 92697, USA
| |
Collapse
|
9
|
Mattioli M, Dalmonte M, Lechner W, Pupillo G. Cluster Luttinger liquids of Rydberg-dressed atoms in optical lattices. PHYSICAL REVIEW LETTERS 2013; 111:165302. [PMID: 24182276 DOI: 10.1103/physrevlett.111.165302] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/15/2013] [Revised: 09/03/2013] [Indexed: 06/02/2023]
Abstract
We investigate the zero-temperature phases of bosonic and fermionic gases confined to one dimension and interacting via a class of finite-range soft-shoulder potentials (i.e., soft-core potentials with an additional hard-core onsite interaction). Using a combination of analytical and numerical methods, we demonstrate the stabilization of critical quantum liquids with qualitatively new features with respect to the Tomonaga-Luttinger liquid paradigm. These features result from frustration and cluster formation in the corresponding classical ground state. Characteristic signatures of these liquids are accessible in state-of-the-art experimental setups with Rydberg-dressed ground-state atoms trapped in optical lattices.
Collapse
Affiliation(s)
- Marco Mattioli
- Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria and Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria
| | | | | | | |
Collapse
|
10
|
Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins. Nature 2012; 484:489-92. [PMID: 22538611 DOI: 10.1038/nature10981] [Citation(s) in RCA: 625] [Impact Index Per Article: 52.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2011] [Accepted: 02/21/2012] [Indexed: 11/08/2022]
Abstract
The presence of long-range quantum spin correlations underlies a variety of physical phenomena in condensed-matter systems, potentially including high-temperature superconductivity. However, many properties of exotic, strongly correlated spin systems, such as spin liquids, have proved difficult to study, in part because calculations involving N-body entanglement become intractable for as few as N ≈ 30 particles. Feynman predicted that a quantum simulator--a special-purpose 'analogue' processor built using quantum bits (qubits)--would be inherently suited to solving such problems. In the context of quantum magnetism, a number of experiments have demonstrated the feasibility of this approach, but simulations allowing controlled, tunable interactions between spins localized on two- or three-dimensional lattices of more than a few tens of qubits have yet to be demonstrated, in part because of the technical challenge of realizing large-scale qubit arrays. Here we demonstrate a variable-range Ising-type spin-spin interaction, J(i,j), on a naturally occurring, two-dimensional triangular crystal lattice of hundreds of spin-half particles (beryllium ions stored in a Penning trap). This is a computationally relevant scale more than an order of magnitude larger than previous experiments. We show that a spin-dependent optical dipole force can produce an antiferromagnetic interaction J(i,j) proportional variant d(-a)(i,j), where 0 ≤ a ≤ 3 and d(i,j) is the distance between spin pairs. These power laws correspond physically to infinite-range (a = 0), Coulomb-like (a = 1), monopole-dipole (a = 2) and dipole-dipole (a = 3) couplings. Experimentally, we demonstrate excellent agreement with a theory for 0.05 ≲ a ≲ 1.4. This demonstration, coupled with the high spin count, excellent quantum control and low technical complexity of the Penning trap, brings within reach the simulation of otherwise computationally intractable problems in quantum magnetism.
Collapse
|
11
|
Lesanovsky I. Liquid ground state, gap, and excited states of a strongly correlated spin chain. PHYSICAL REVIEW LETTERS 2012; 108:105301. [PMID: 22463419 DOI: 10.1103/physrevlett.108.105301] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/20/2011] [Indexed: 05/31/2023]
Abstract
We present an exact solution of an experimentally realizable and strongly interacting one-dimensional spin system which is a limiting case of a quantum Ising model with long range interaction in a transverse and longitudinal field. Pronounced quantum fluctuations lead to a strongly correlated liquid ground state. For open boundary conditions the ground state manifold consists of four degenerate sectors whose quantum numbers are determined by the orientation of the edge spins. Explicit expressions for the entanglement properties, the exact excitation gap, as well as the exact wave functions for a couple of excited states are analytically derived and discussed. We outline how this system can be experimentally realized in a lattice gas of Rydberg atoms.
Collapse
Affiliation(s)
- Igor Lesanovsky
- Midlands Ultracold Atom Research Centre (MUARC), School of Physics and Astronomy, The University of Nottingham, Nottingham, NG7 2RD, United Kingdom
| |
Collapse
|
12
|
Wang YF, Gu ZC, Gong CD, Sheng DN. Fractional quantum Hall effect of hard-core bosons in topological flat bands. PHYSICAL REVIEW LETTERS 2011; 107:146803. [PMID: 22107227 DOI: 10.1103/physrevlett.107.146803] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/16/2011] [Indexed: 05/31/2023]
Abstract
Recent proposals of topological flat band models have provided a new route to realize the fractional quantum Hall effect without Landau levels. We study hard-core bosons with short-range interactions in two representative topological flat band models, one of which is the well-known Haldane model (but with different parameters). We demonstrate that fractional quantum Hall states emerge with signatures of an even number of quasidegenerate ground states on a torus and a robust spectrum gap separating these states from the higher energy spectrum. We also establish quantum phase diagrams for the filling factor 1/2 and illustrate quantum phase transitions to other competing symmetry-breaking phases.
Collapse
Affiliation(s)
- Yi-Fei Wang
- Center for Statistical and Theoretical Condensed Matter Physics and Department of Physics, Zhejiang Normal University, Jinhua 321004, China
| | | | | | | |
Collapse
|