Stochastic wave-function approach to non-Markovian systems
Abstract
We extend the quantum Monte Carlo wave-function method of quantum optics to non-Markovian system-reservoir interactions. The finite correlation time of the reservoir and the associated memory effects are incorporated into the dynamics by expanding the initial system using fictitious harmonic-oscillator modes, which have Markovian dissipative interactions. The underlying principle is the fact that a class of reservoir spectral functions can be approximated by a finite superposition of Lorentzian functions with positive coefficients.
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Purely Markovian dephasing at the same effective rate leads the dimer to a maximally mixed separable steady state with no long-term entanglement.
“whereas purely Markovian dynamics governed by Lindblad master equations lead to separable steady states.”
From Non-Markovianity-Assisted Steady State Entanglement (2012) · cites this paper as [17]
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Mančal, T., & May, V. (2001) · Chemical Physics · doi:10.1016/s0301-0104(01)00328-7 · Cited by 18 · see citing works
Interferometric approach to open quantum systems and non-Markovian dynamics
Siltanen, O., Kuusela, T., & Piilo, J. (2021) · Physical Review A · doi:10.1103/physreva.103.032223 · Cited by 17 · see citing works
- Authors
- Imamog¯lu, A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1994-11-01
- Volume
- 50
- Issue
- 5
- Pages
- 3650-3653
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2410406417
- Cited by
- 215
- References
- 18
- Citations by year
- 2026: 13 · 2025: 14 · 2024: 21 · 2023: 14 · 2022: 7 · 2021: 11 · 2020: 10 · 2019: 9 · 2018: 6 · 2017: 4 · 2016: 4 · 2015: 10 · 2014: 9 · 2013: 5 · 2012: 6
- FWCI
- 1.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- non-Markovian dynamics, system-reservoir interaction, memory effects, finite correlation time, dissipative dynamics
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