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Quasi-Lindblad pseudomode theory for open quantum systems

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [3];  [1];  [4]
  1. California Institute of Technology (CalTech), Pasadena, CA (United States)
  2. University of California, Berkeley, CA (United States)
  3. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
  4. University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
+ Show Author Affiliations
Here, we introduce a new framework to study the dynamics of open quantum systems with linearly coupled Gaussian baths. Our approach replaces the continuous bath with an auxiliary discrete set of pseudomodes with dissipative dynamics, but we further relax the complete positivity requirement in the Lindblad master equation and formulate a quasi-Lindblad pseudomode theory. We show that this quasi-Lindblad pseudomode formulation directly leads to a representation of the bath correlation function in terms of a complex weighted sum of complex exponentials, an expansion that is known to be rapidly convergent in practice and thus leads to a compact set of pseudomodes. The pseudomode representation is not unique and can differ by a gauge choice. When the global dynamics can be simulated exactly, the system dynamics is unique and independent of the specific pseudomode representation. However, the gauge choice may affect the stability of the global dynamics, and we provide an analysis of why and when the global dynamics can retain stability despite losing positivity. We showcase the performance of this formulation across various spectral densities in both bosonic and fermionic problems, finding significant improvements over conventional pseudomode formulations.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)
Grant/Contract Number:
AC02-05CH11231; SC0022088; SC0022198
OSTI ID:
2550566
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 19 Vol. 110; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Anderson impurity model
Lindblad equation
non-Markovian processes
nonperturbative methods
open quantum systems
spin-boson model
strongly correlated systems