Complex Langevin and other approaches to the sign problem in quantum many-body physics
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DOI: 10.1016/j.physrep.2020.09.002
Abstract: We review the theory and applications of complex stochastic quantization to the quantum many-body problem. Along the way, we present a brief overview of a number of ideas that either ameliorate or in some cases… read more here.
Keywords: many body; physics; problem; sign problem ... See more keywords
Applying complex Langevin simulations to lattice QCD at finite density
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DOI: 10.1103/physrevd.100.054512
Abstract: We study the use of the complex-Langevin equation (CLE) to simulate lattice QCD at a finite chemical potential ($\mu$) for quark-number, which has a complex fermion determinant that prevents the use of standard simulation methods… read more here.
Keywords: applying complex; langevin simulations; qcd finite; complex langevin ... See more keywords
Reweighting complex Langevin trajectories
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DOI: 10.1103/physrevd.95.054509
Abstract: Although the complex Langevin method can solve the sign problem in simulations of theories with complex actions, the method will yield the wrong results if known validity conditions are not satisfied. We present a novel… read more here.
Keywords: complex langevin; reweighting complex; langevin; langevin trajectories ... See more keywords
Monte Carlo sampling of complex actions in extended state spaces.
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DOI: 10.1103/physreve.105.045315
Abstract: Path integrals with complex actions are encountered for many physical systems ranging from spin- or mass-imbalanced atomic gases and graphene to quantum chromodynamics at finite density to the nonequilibrium evolution of quantum systems. Many computational… read more here.
Keywords: extended state; monte carlo; complex actions; complex langevin ... See more keywords
Entropy production for complex Langevin equations.
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DOI: 10.1103/physreve.96.012150
Abstract: We study irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermochemical baths. Dissipation is introduced via non-Hermitian terms in the Hamiltonian of the model. We apply… read more here.
Keywords: production; production complex; complex langevin; entropy production ... See more keywords