Diagrammatic Monte Carlo simulation of nonequilibrium systems

By Philipp Werner, T. Oka, A. Millis. 2008

192 citations recorded by the source corpus.

We generalize the recently developed diagrammatic Monte Carlo techniques for quantum impurity models from an imaginary time to a Keldysh formalism suitable for real-time and nonequilibrium calculations. Both weak-coupling and strong-coupling based methods are introduced, analyzed, and applied to the study of transport and relaxation dynamics in interacting quantum dots.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/f1cf9b698112def10af361c6dc7f749556e8ca83

How researchers see this paper

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In Atomic and Molecular Physics, and Optics

1. Andrew J. Daley
2. Matthias Troyer
3. Philipp Werner
4. Peter Zoller
5. A. Rubtsov
6. A. Lichtenstein
7. I. Bloch
8. Emanuel Gull

In Condensed Matter Physics

1. A. Lichtenstein
2. Philipp Werner
3. A. Rubtsov
4. Matthias Troyer
5. Emanuel Gull
6. A. Millis
7. T. Oka
8. M. Kollar

Citations in the corpus

• Continuous-time Monte Carlo methods for quantum impurity models (2010, methodology): “In agreement with conclusions reached in (Werner et al., 2009b) on the basis of (less accurate) hybridization expansion results and also with recent nonequilibrium functional renormalization group calculations (Jakobs et al., 2010) we see that this model does not display a region of negative…”
• Practical quantum advantage in quantum simulation (2022, background): “For example, although tremendous progress has been made possible by quantum Monte Carlo methods in recent decades 42–44 , path-integral Monte Carlo calculations face the challenge of the so-called sign problem in sampling.”
• Nonequilibrium dynamical mean-field theory and its applications (2013, methodology): “The interaction expansion based on (148) is equivalent to the auxiliary field algorithms described in (Gullet al., 2008; Werner et al., 2009), as was shown in (Mikelsonset al., 2009).”
• Colloquium: Nonthermal pathways to ultrafast control in quantum materials (2021, background): “While these approaches suffer from a notorious “dynamical sign problem” (Werner, Oka, and Millis, 2009) whereby the nonpositivity of sampling weights results in a computational effort that increases exponentially in time, recent algorithmic advances with modest computational Rev. Mod.”