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Title: Currents and Green's functions of impurities out of equilibrium: Results from inchworm quantum Monte Carlo

Journal Article · · Physical Review B
 [1];  [2];  [2];  [3];  [2]
  1. Univ. of Michigan, Ann Arbor, MI (United States); DOE/OSTI
  2. Univ. of Michigan, Ann Arbor, MI (United States)
  3. Tel Aviv Univ. (Israel)
+ Show Author Affiliations

Here, we generalize the recently developed inchworm quantum Monte Carlo method to the full Keldysh contour with forward, backward, and equilibrium branches to describe the dynamics of strongly correlated impurity problems with time-dependent parameters. We introduce a method to compute Green's functions, spectral functions, and currents for inchworm Monte Carlo and show how systematic error assessments in real time can be obtained. We then illustrate the capabilities of the algorithm with a study of the behavior of quantum impurities after an instantaneous voltage quench from a thermal equilibrium state.

Research Organization:
Univ. of California, Oakland, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
Israel Science Foundation; USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231; SC0010342
OSTI ID:
1535861
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 8 Vol. 95; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cancellation of vacuum diagrams and the long-time limit in out-of-equilibrium diagrammatic quantum Monte Carlo journal August 2019
Numerically exact full counting statistics of the energy current in the Kondo regime journal October 2019
Dynamics of Kondo voltage splitting after a quantum quench journal November 2019
Quantum Monte Carlo solution of the dynamical mean field equations in real time journal October 2017
Numerically exact full counting statistics of the nonequilibrium Anderson impurity model journal March 2018
Inclusion-exclusion principle for many-body diagrammatics journal September 2018
Resonant Thermalization of Periodically Driven Strongly Correlated Electrons journal May 2018
Auxiliary Master Equation for Nonequilibrium Dual-Fermion Approach journal May 2019
Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion journal January 2019
Auxiliary master equation for nonequilibrium dual-fermion approach text January 2018
Dressed Quantum Trajectories: Novel Approach to the non-Markovian Dynamics of Open Quantum Systems on a Wide Time Scale text January 2018
Dynamics of Kondo voltage splitting after a quantum quench text January 2019
Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion text January 2019

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Anderson impurity model
materials science
nonequilibrium Green's function
physics
quantum Monte Carlo
strongly correlated systems