Non-Markovian Gaussian dissipative stochastic wave vector
Abstract
We give a complete characterization of the stochastic wave formalism when color Gaussian fluctuations are assumed. It is shown that in this case there is only one possible generalization of the stochastic wave dynamics, which is given by the ``non-Markovian quantum state diffusion model'' [Phys. Rev. A 58, 1699 (1998)]. Using functional techniques, we found an equivalent evolution in terms of the stochastic propagator. From this equation any controlled approximation can be constructed. The mean density-matrix evolution is given in a closed form. A relation with quantum master equations is established. An interaction parameter expansion and a small correlation time expansion are developed.
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In the Markovian limit with independent white noises, the dissipator depends only on the average density operator and takes diagonal Lindblad form.
“In particular, the dissipator now only depends on the average density operator hρ st ðtÞi, that we hereafter denote by ρðtÞ to simplify the notation.”
From Quantum simulation of generic many-body open system dynamics using classical noise (2017) · cites this paper as [34]
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Quantum simulation of generic many-body open system dynamics using classical noise
Chenu, A., Beau, M., Cao, J., & del Campo, A. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.140403 · Cited by 160 · see citing works
Xu, Z. Y., Yang, W. L., & Feng, M. (2010) · Physical Review A · doi:10.1103/physreva.81.044105 · Cited by 72 · see citing works
- Authors
- Budini, A. A.
- Affiliations
- Universidade Federal do Rio de Janeiro (BR)
- Corresponding author
- Budini, Adrián A.
- ORCID
- Budini, Adrián A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2000-12-08
- Volume
- 63
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1981041624
- Cited by
- 67
- References
- 18
- Citations by year
- 2026: 2 · 2025: 10 · 2024: 4 · 2023: 2 · 2022: 1 · 2021: 2 · 2020: 1 · 2019: 2 · 2018: 1 · 2017: 4 · 2015: 2 · 2014: 2 · 2012: 3
- FWCI
- 2.83
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- non-Markovian dynamics, Gaussian fluctuations, quantum state diffusion, density matrix evolution, quantum master equation, dissipative quantum systems
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