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Title: Adaptive rotating-wave approximation for driven open quantum systems

Abstract

In this study we present a numerical method to approximate the long-time asymptotic solution $$\rho_\infty(t)$$ to the Lindblad master equation for an open quantum system under the influence of an external drive. The proposed scheme uses perturbation theory to rank individual drive terms according to their dynamical relevance, and adaptively determines an effective Hamiltonian. In the constructed rotating frame, $$\rho_\infty$$ is approximated by a time-independent, nonequilibrium steady-state. This steady-state can be computed with much better numerical efficiency than asymptotic long-time evolution of the system in the lab frame. We illustrate the use of this method by simulating recent transmission measurements of the heavy-fluxonium device, for which ordinary time-dependent simulations are severely challenging due to the presence of metastable states with lifetimes of the order of milliseconds.

Authors:
 [1]; ORCiD logo [2];  [1];  [3];  [1]
  1. Northwestern Univ., Evanston, IL (United States)
  2. Northwestern Univ., Evanston, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  3. Univ. of Chicago, Chicago, IL (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1498555
Report Number(s):
arXiv:1808.01247; FERMILAB-PUB-18-754-CD
Journal ID: ISSN 2469-9926; PLRAAN; 1722213
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE

Citation Formats

Baker, Brian, Li, Andy C. Y., Irons, Nicholas, Earnest, Nathan, and Koch, Jens. Adaptive rotating-wave approximation for driven open quantum systems. United States: N. p., 2018. Web. doi:10.1103/PhysRevA.98.052111.
Baker, Brian, Li, Andy C. Y., Irons, Nicholas, Earnest, Nathan, & Koch, Jens. Adaptive rotating-wave approximation for driven open quantum systems. United States. https://doi.org/10.1103/PhysRevA.98.052111
Baker, Brian, Li, Andy C. Y., Irons, Nicholas, Earnest, Nathan, and Koch, Jens. Thu . "Adaptive rotating-wave approximation for driven open quantum systems". United States. https://doi.org/10.1103/PhysRevA.98.052111. https://www.osti.gov/servlets/purl/1498555.
@article{osti_1498555,
title = {Adaptive rotating-wave approximation for driven open quantum systems},
author = {Baker, Brian and Li, Andy C. Y. and Irons, Nicholas and Earnest, Nathan and Koch, Jens},
abstractNote = {In this study we present a numerical method to approximate the long-time asymptotic solution $\rho_\infty(t)$ to the Lindblad master equation for an open quantum system under the influence of an external drive. The proposed scheme uses perturbation theory to rank individual drive terms according to their dynamical relevance, and adaptively determines an effective Hamiltonian. In the constructed rotating frame, $\rho_\infty$ is approximated by a time-independent, nonequilibrium steady-state. This steady-state can be computed with much better numerical efficiency than asymptotic long-time evolution of the system in the lab frame. We illustrate the use of this method by simulating recent transmission measurements of the heavy-fluxonium device, for which ordinary time-dependent simulations are severely challenging due to the presence of metastable states with lifetimes of the order of milliseconds.},
doi = {10.1103/PhysRevA.98.052111},
journal = {Physical Review A},
number = 5,
volume = 98,
place = {United States},
year = {Thu Nov 08 00:00:00 EST 2018},
month = {Thu Nov 08 00:00:00 EST 2018}
}

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