Thermodynamics of spin-orbit-coupled bosons in two dimensions from the complex Langevin method

Attanasio, Felipe; Drut, Joaquín E.

doi:10.1103/physreva.101.033617

Cited by 13 publications

(8 citation statements)

References 60 publications

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“…Additional uses of complex Langevin outside of QCD related models include superstring-inspired models [32] and quantum many-body studies: rotating bosons [33,34], spin-orbit coupled bosons [35], fermions with repulsive interactions [36], non-zero polarisation [37,38], mass imbalance [39,40], and to determine their virial coefficients [41].…”

Section: Introductionmentioning

confidence: 99%

Complex Langevin simulations and the QCD phase diagram: recent developments

2020

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In this review we present the current state-of-the-art on complex Langevin simulations and their implications for the QCD phase diagram. After a short summary of the complex Langevin method, we present and discuss recent developments. Here we focus on the explicit computation of boundary terms, which provide an observable that can be used to check one of the criteria of correctness explicitly. We also present the method of Dynamic Stabilization and elaborate on recent results for fully dynamical QCD.

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Section: Introductionmentioning

confidence: 99%

Complex Langevin simulations and the QCD phase diagram: recent developments

2020

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“…) is the effective action, and η represents a (real) white noise term with vanishing autocorrelation. Although there are potential caveats to this approach [34][35][36], this strategy has been successfully applied to strongly coupled ultracold matter [20,26,[37][38][39][40] and thus is expected to faithfully represent the correlation functions of interest for this work. Our numerical setup and (hyper)parameters are as in Ref.…”

Section: Model and Methodsmentioning

confidence: 99%

Pairing patterns in polarized unitary Fermi gases above the superfluid transition

et al. 2022

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We nonperturbatively study pairing in the high-temperature regime of polarized unitary two-component Fermi gases by extracting the pair-momentum distribution and shot-noise correlations. Whereas the pair-momentum distribution allows us to analyze the propagation of pairs composed of one spin-up and one spin-down fermion, shot-noise correlations provide us with a tomographic insight into pairing correlations around the Fermi surfaces associated with the two species. Assuming that the dominant pairing patterns right above the superfluid transition also govern the formation of condensates in the low-temperature regime, our analysis suggests that the superfluid ground state is homogeneous and of the Bardeen-Cooper-Schrieffer type over a wide range of polarizations.

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“…Such theories are known to have a sign problem on a spacetime lattice. In order to deal with this sign problem, we employ the complex Langevin (CL) approach, which has been employed before to study relativistic as well as non-relativistic complex scalar field theories [53][54][55]. Moreover, the CL approach has been successfully applied to compute properties of ultracold Fermi gases described by the Hamilton operator (1), see Refs.…”

Section: Introductionmentioning

confidence: 99%

A lattice pairing-field approach to ultracold Fermi gases

Ehmann,

Drut,

Braun

2024

SciPost Phys.

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We develop a pairing-field formalism for ab initio studies of non-relativistic two-component fermions on a (d+1)-dimensional spacetime lattice. More specifically, we focus on theories where the interaction between the two components can be described by the exchange of a corresponding pairing field. The introduction of a pairing field may indeed be convenient for studies of, e.g., the finite-temperature phase structure and critical behavior of, e.g., ultracold atomic Fermi gases. Moreover, such a formalism allows to directly compute the momentum and frequency dependence of the pair propagator, from which the pair-correlation function can be extracted. For a first illustration of the application of our formalism, we compute the density equation of state and the superfluid order parameter for a gas of unpolarized fermions in (0+1) dimensions by employing the complex Langevin approach to surmount the sign problem.

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Thermodynamics of spin-orbit-coupled bosons in two dimensions from the complex Langevin method

Cited by 13 publications

References 60 publications

Complex Langevin simulations and the QCD phase diagram: recent developments

Complex Langevin simulations and the QCD phase diagram: recent developments

Pairing patterns in polarized unitary Fermi gases above the superfluid transition

A lattice pairing-field approach to ultracold Fermi gases

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