Quantum Monte&nbsp;Carlo Method in the Steady State

Erpenbeck, A.; Gull, E.; Cohen, G.

doi:10.1103/physrevlett.130.186301

Quantum Monte Carlo Method in the Steady State

Journal Article · Tue May 02 00:00:00 EDT 2023 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.130.186301· OSTI ID:2422031

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Univ. of Michigan, Ann Arbor, MI (United States); OSTI
Univ. of Michigan, Ann Arbor, MI (United States)
Tel Aviv Univ., Tel Aviv (Israel)

We present a numerically exact steady-state inchworm Monte Carlo method for nonequilibrium quantum impurity models. Rather than propagating an initial state to long times, the method is directly formulated in the steady state. This eliminates any need to traverse the transient dynamics and grants access to a much larger range of parameter regimes at vastly reduced computational costs. We benchmark the method on equilibrium Green’s functions of quantum dots in the noninteracting limit and in the unitary limit of the Kondo regime. We then consider correlated materials described with dynamical mean field theory and driven away from equilibrium by a bias voltage. We show that the response of a correlated material to a bias voltage differs qualitatively from the splitting of the Kondo resonance observed in bias-driven quantum dots.

View Accepted Manuscript (DOE)

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: German Research Foundation (DFG); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)

Grant/Contract Number:: AC02-05CH11231; SC0022088

OSTI ID:: 2422031

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 130; ISSN 0031-9007; ISSN PRLTAO

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
Diagrammatic methods
Dynamical mean field theory
Kondo effect
Many-body techniques
Nonequilibrium systems
Physics
Quantum Monte Carlo
Quantum dots
Quantum transport
Strongly correlated systems

Quantum Monte Carlo Method in the Steady State

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