Complex Langevin simulation of quantum vortices in a Bose-Einstein condensate

Abstract

The ab-initio simulation of quantum vortices in a Bose-Einstein condensate is performed by adopting the complex Langevin techniques. We simulate the nonrelativistic boson field theory at finite chemical potential under rotation. In the superfluid phase, vortices are generated above a critical angular velocity and the circulation is clearly quantized even in the presence of quantum fluctuations.

6 pages, 7 figures. v2: Version to appear in PRA

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Color superconductivity in dense quark matter
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Lattice simulations of real-time quantum fields
• Observation of Solitonic Vortices in Bose-Einstein Condensates
• Stochastic quantization at finite chemical potential
• New insights into the problem with a singular drift term in the complex Langevin method
• Quantum Hall physics in rotating Bose-Einstein condensates
• Quantum Monte Carlo simulation of three-dimensional Bose-Fermi mixtures
• Schwinger Mechanism with Stochastic Quantization

Cited by in corpus (17)

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• Thermodynamics of spin-orbit coupled bosons in two dimensions from complex Langevin
• Thermodynamic engine with a quantum degenerate working fluid
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Complex Langevin approach to interacting Bose gases
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Hopping parameter expansion to all orders using the complex Langevin equation
• String confinement in 2-form lattice gauge theory
• Non-Abelian vortex in lattice gauge theory
• Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
• Complex Langevin simulation in condensed matter physics
• Exact kinetic propagators for coherent state complex Langevin simulations
• Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking