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Schultz JD, Yuly JL, Arsenault EA, Parker K, Chowdhury SN, Dani R, Kundu S, Nuomin H, Zhang Z, Valdiviezo J, Zhang P, Orcutt K, Jang SJ, Fleming GR, Makri N, Ogilvie JP, Therien MJ, Wasielewski MR, Beratan DN. Coherence in Chemistry: Foundations and Frontiers. Chem Rev 2024; 124:11641-11766. [PMID: 39441172 DOI: 10.1021/acs.chemrev.3c00643] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2024]
Abstract
Coherence refers to correlations in waves. Because matter has a wave-particle nature, it is unsurprising that coherence has deep connections with the most contemporary issues in chemistry research (e.g., energy harvesting, femtosecond spectroscopy, molecular qubits and more). But what does the word "coherence" really mean in the context of molecules and other quantum systems? We provide a review of key concepts, definitions, and methodologies, surrounding coherence phenomena in chemistry, and we describe how the terms "coherence" and "quantum coherence" refer to many different phenomena in chemistry. Moreover, we show how these notions are related to the concept of an interference pattern. Coherence phenomena are indeed complex, and ambiguous definitions may spawn confusion. By describing the many definitions and contexts for coherence in the molecular sciences, we aim to enhance understanding and communication in this broad and active area of chemistry.
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Affiliation(s)
- Jonathan D Schultz
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, United States
| | - Jonathon L Yuly
- Lewis-Sigler Institute for Integrative Genomics, Princeton University, Princeton, New Jersey 08540, United States
- Department of Physics, Duke University, Durham, North Carolina 27708, United States
| | - Eric A Arsenault
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, United States
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Kelsey Parker
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
| | - Sutirtha N Chowdhury
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
| | - Reshmi Dani
- Department of Chemistry, University of Illinois, Urbana, Illinois 61801, United States
| | - Sohang Kundu
- Department of Chemistry, University of Illinois, Urbana, Illinois 61801, United States
| | - Hanggai Nuomin
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
| | - Zhendian Zhang
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
| | - Jesús Valdiviezo
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
- Department of Biological Chemistry and Molecular Pharmacology, Harvard Medical School, Boston, Massachusetts 02115, United States
- Department of Cancer Biology, Dana-Farber Cancer Institute, Boston, Massachusetts 02215, United States
- Sección Química, Departamento de Ciencias, Pontificia Universidad Católica del Perú, San Miguel, Lima 15088, Peru
| | - Peng Zhang
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
| | - Kaydren Orcutt
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, United States
- Molecular Biophysics and Integrated Bioimaging Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
- Bioproducts Research Unit, Western Regional Research Center, Agricultural Research Service, United States Department of Agriculture, 800 Buchanan Street, Albany, California 94710, United States
| | - Seogjoo J Jang
- Department of Chemistry and Biochemistry, Queens College, City University of New York, Queens, New York 11367, United States
- Chemistry and Physics PhD programs, Graduate Center, City University of New York, New York, New York 10016, United States
| | - Graham R Fleming
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, United States
| | - Nancy Makri
- Department of Chemistry, University of Illinois, Urbana, Illinois 61801, United States
- Department of Physics, University of Illinois, Urbana, Illinois 61801, United States
- Illinois Quantum Information Science and Technology Center, University of Illinois, Urbana, Illinois 61801, United States
| | - Jennifer P Ogilvie
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, United States
| | - Michael J Therien
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
| | - Michael R Wasielewski
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, United States
| | - David N Beratan
- Department of Chemistry, Duke University, Durham, North Carolina 27708, United States
- Department of Physics, Duke University, Durham, North Carolina 27708, United States
- Department of Biochemistry, Duke University, Durham, North Carolina 27710, United States
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Makri N. Kink Sum for Long-Memory Small Matrix Path Integral Dynamics. J Phys Chem B 2024. [PMID: 38437738 DOI: 10.1021/acs.jpcb.3c08282] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/06/2024]
Abstract
The small matrix decomposition of the real-time path integral (SMatPI) allows for numerically exact and efficient propagation of the reduced density matrix (RDM) for system-bath Hamiltonians. Its high efficiency lies in the small size of the SMatPI matrices employed in the iterative algorithm, whose size is equal to that of the full RDM. By avoiding the storage and multiplication of large tensors, the SMatPI algorithm is applicable in multistate systems under a variety of conditions. The main computational effort is the evaluation of path sums within the entangled memory length to construct the SMatPI matrices. A number of methods are available for this task, each with its own favorable parameter regime, but calculations with strong system-bath coupling and long memory at low temperatures remain out of reach. The present paper evaluates the path sums by binning the paths (in forward time only) based on their amplitudes, which depend on the number and type of kinks they contain. The algorithm is very efficient, leading to a dramatic acceleration of path sums and significantly extending the accessible memory length in the most challenging regimes.
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Affiliation(s)
- Nancy Makri
- Departments of Chemistry and Physics, University of Illinois, 505 S. Mathews Avenue, Urbana, Illinois 61801, United States
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