1
|
Mohamed RI, Eldin MG, Farouk A, Ramadan AA, Abdel-Aty M. Quantum computational speed of a nanowires system with Rashba interaction in the presence of a magnetic field. Sci Rep 2021; 11:22726. [PMID: 34815447 PMCID: PMC8611000 DOI: 10.1038/s41598-021-02051-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2021] [Accepted: 10/19/2021] [Indexed: 11/09/2022] Open
Abstract
The present research is designed to examine the dynamic of the quantum computational speed in a nanowire system through the orthogonality speed when three distinct types of magnetic fields are applied: the strong magnetic field, the weak magnetic field, and no magnetic field. Moreover, we investigate the action of the magnetic fields, the spin-orbit coupling, and the system's initial states on the orthogonality speed. The observed results reveal that a substantial correlation between the intensity of the spin-orbit coupling and the dynamics of the orthogonality speed, where the orthogonality speed decreasing as the spin-orbit coupling increases. Furthermore, the initial states of the nanowire system are critical for regulating the speed of transmuting the information and computations.
Collapse
Affiliation(s)
- Rabie I Mohamed
- Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.
| | - Manal G Eldin
- Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
| | - Ahmed Farouk
- Department of Computer Science, Faculty of Computers and Artificial Intelligence, South Valley University, Hurghada, Egypt
| | - A A Ramadan
- Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
| | - M Abdel-Aty
- Department of Mathematics, Faculty of Science, Sohag University, Sohâg, 82524, Egypt
| |
Collapse
|
2
|
Wang G, Xiao R, Shen HZ, Sun C, Xue K. Simulating Anisotropic quantum Rabi model via frequency modulation. Sci Rep 2019; 9:4569. [PMID: 30872697 PMCID: PMC6418198 DOI: 10.1038/s41598-019-40899-7] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/17/2018] [Accepted: 02/25/2019] [Indexed: 11/09/2022] Open
Abstract
Anisotropic quantum Rabi model is a generalization of quantum Rabi model, which allows its rotating and counter-rotating terms to have two different coupling constants. It provides us with a fundamental model to understand various physical features concerning quantum optics, solid-state physics, and mesoscopic physics. In this paper, we propose an experimental feasible scheme to implement anisotropic quantum Rabi model in a circuit quantum electrodynamics system via periodic frequency modulation. An effective Hamiltonian describing the tunable anisotropic quantum Rabi model can be derived from a qubit-resonator coupling system modulated by two periodic driving fields. All effective parameters of the simulated system can be adjusted by tuning the initial phases, the frequencies and the amplitudes of the driving fields. We show that the periodic driving is able to drive a coupled system in dispersive regime to ultrastrong coupling regime, and even deep-strong coupling regime. The derived effective Hamiltonian allows us to obtain pure rotating term and counter-rotating term. Numerical simulation shows that such effective Hamiltonian is valid in ultrastrong coupling regime, and stronger coupling regime. Moreover, our scheme can be generalized to the multi-qubit case. We also give some applications of the simulated system to the Schrödinger cat states and quantum gate generalization. The presented proposal will pave a way to further study the stronger anisotropic Rabi model whose coupling strength is far away from ultrastrong coupling and deep-strong coupling regimes in quantum optics.
Collapse
Affiliation(s)
- Gangcheng Wang
- Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China.
| | - Ruoqi Xiao
- Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China
| | - H Z Shen
- Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China.
| | - Chunfang Sun
- Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China
| | - Kang Xue
- Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China.
| |
Collapse
|
3
|
Zidan N, Abdel-Hameed HF, Metwally N. Quantum Fisher information of atomic system interacting with a single cavity mode in the presence of Kerr medium. Sci Rep 2019; 9:2699. [PMID: 30804447 PMCID: PMC6390099 DOI: 10.1038/s41598-019-39183-5] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/22/2018] [Accepted: 01/18/2019] [Indexed: 11/11/2022] Open
Abstract
The quantum Fisher information of an atomic system interacting with a single cavity mode in the presence of Kerr medium is discussed. It is shown that quantum Fisher information for an initial separable atomic system is larger than that depicted for the initial entangled atomic system. For initial vacuum state of the cavity mode, the quantum Fisher information with respect to the Kerr medium and the phase decoherence parameter is larger than that displayed for the detuning parameter. Both phase decoherence and Kerr medium have the same effect on the decay of quantum Fisher information, while they have an opposite effect on its maximum values.
Collapse
Affiliation(s)
- N Zidan
- Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt. .,Mathematics Department, College of Science, Jouf University, Sakaka, Saudi Arabia.
| | - H F Abdel-Hameed
- Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt. .,Mathematics Department, Khurma University College, Taif University, Al-Taif, Saudi Arabia.
| | - N Metwally
- Mathematics Department, College of Science, Bahrain University, Zallaq, Bahrain. .,Mathematics Department, Faculty of Science, Aswan University, Aswan, Egypt.
| |
Collapse
|
4
|
Liu M, Chesi S, Ying ZJ, Chen X, Luo HG, Lin HQ. Universal Scaling and Critical Exponents of the Anisotropic Quantum Rabi Model. PHYSICAL REVIEW LETTERS 2017; 119:220601. [PMID: 29286818 DOI: 10.1103/physrevlett.119.220601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/21/2017] [Indexed: 06/07/2023]
Abstract
We investigate the quantum phase transition of the anisotropic quantum Rabi model, in which the rotating and counterrotating terms are allowed to have different coupling strengths. The model interpolates between two known limits with distinct universal properties. Through a combination of analytic and numerical approaches, we extract the phase diagram, scaling functions, and critical exponents, which determine the universality class at finite anisotropy (identical to the isotropic limit). We also reveal other interesting features, including a superradiance-induced freezing of the effective mass and discontinuous scaling functions in the Jaynes-Cummings limit. Our findings are extended to the few-body quantum phase transitions with N>1 spins, where we expose the same effective parameters, scaling properties, and phase diagram. Thus, a stronger form of universality is established, valid from N=1 up to the thermodynamic limit.
Collapse
Affiliation(s)
- Maoxin Liu
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Stefano Chesi
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Zu-Jian Ying
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Xiaosong Chen
- Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
| | - Hong-Gang Luo
- Beijing Computational Science Research Center, Beijing 100193, China
- Center for Interdisciplinary Studies and Key Laboratory for Magnetism and Magnetic Materials of the MoE, Lanzhou University, Lanzhou 730000, China
| | - Hai-Qing Lin
- Beijing Computational Science Research Center, Beijing 100193, China
| |
Collapse
|
5
|
Chen Y, Zou J, Long ZW, Shao B. Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation. Sci Rep 2017; 7:6160. [PMID: 28733578 PMCID: PMC5522470 DOI: 10.1038/s41598-017-04726-1] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2017] [Accepted: 06/08/2017] [Indexed: 11/09/2022] Open
Abstract
In this paper we propose a scheme by using weak-measurement-based pre- and post-flips (WMPPF) to protect the average quantum Fisher information (QFI) in the independent amplitude-damping channel (ADC) for N-qubit GHZ state and generalized N-qubit GHZ states. We also discuss the weak measurement and quantum measurement reversal (WMQMR) with the same ADC. Based on the analytical and numerical results we obtain the main result: the WMPPF can reduce the effect of dissipation on the average QFI of the phase or the frequency for GHZ state and some generalized GHZ states, and the WMQMR can reduce the effect of dissipation on the average fidelity for GHZ state and generalized GHZ states in ADC. Comparing QFI with fidelity for WMPPF or for WMQMR, a scheme protecting the average fidelity does not necessarily protect the average QFI, even with the same parameters, and vice versa. We also focus on the average QFI versus N in the phase estimation and the frequency estimation of WMPPF, both of which show the advantages over the do-nothing (DN) case. From the investigation of the QFI of weight factor, we find that increasing qubit number can protect it both for WMPPF and for DN.
Collapse
Affiliation(s)
- Yu Chen
- School of Physics, Beijing Institute of Technology, Beijing, 100081, China. .,School of Physics and Electronic science, Guizhou Normal College, Guiyang, 550018, China.
| | - Jian Zou
- School of Physics, Beijing Institute of Technology, Beijing, 100081, China
| | - Zheng-Wen Long
- College of Physics, Guizhou University, Guiyang, 550025, China
| | - Bin Shao
- School of Physics, Beijing Institute of Technology, Beijing, 100081, China
| |
Collapse
|