Thermodynamics of Bose gases from functional renormalization with a hydrodynamic low-energy effective action
arXiv:1902.07135 · doi:10.1016/j.aop.2019.168006
Abstract
The functional renormalization group for the effective action is used to construct an effective hydrodynamic description of weakly interacting Bose gases. We employ a scale-dependent parametrization of the boson fields developed previously to start the renormalization evolution in a Cartesian representation at high momenta and interpolate to an amplitude-phase one in the low-momentum regime. This technique is applied to Bose gases in one, two and three dimensions, where we study thermodynamic quantities such as the pressure and energy per particle. The interpolation leads to a very natural description of the Goldstone modes in the physical limit, and compares well to analytic and Monte-Carlo simulations at zero temperature. The results show that our method improves aspects of the description of low-dimensional systems, with stable results for the superfluid phase in two dimensions and even in one dimension.
arXiv comment35 pages, 10 figures; matched to the published version
References in corpus (41)
- Exact evolution equation for the effective potential
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Aspects of the Functional Renormalisation Group
- Theory of the Weakly Interacting Bose Gas
- Interatomic collisions in a tightly confined Bose gas
- Bosonizing one-dimensional cold atomic gases
- Extension of Bogoliubov theory to quasi-condensates
- A Mixture of Bose and Fermi Superfluids
- BCS-BEC Crossover and the Unitary Fermi Gas
- Phase Fluctuations and Pseudogap Phenomena
- Degenerate Bose-Bose mixture in a three-dimensional optical lattice
- Optimization of the derivative expansion in the nonperturbative renormalization group
- Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
- Weakly Interacting, Dilute Bose Gases in 2D
- Does the attractive Hubbard model support larger persistent currents than the repulsive one ?
- Nonperturbative Renormalization Flow and Essential Scaling for the Kosterlitz-Thouless Transition
- Renormalization Group Theory of the Three-Dimensional Dilute Bose Gas
- Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model
- Two Definitions of Superfluid Density
- Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature
- Functional renormalization for Bose-Einstein Condensation
- Functional renormalization for quantum phase transitions with non-relativistic bosons
- Infrared behavior and spectral function of a Bose superfluid at zero temperature
- Beliaev technique for a weakly interacting Bose gas
- Infrared behavior in systems with a broken continuous symmetry: classical O(N) model vs interacting bosons
- Strongly correlated Bose gases
- Non-perturbative renormalization-group approach to zero-temperature Bose systems
- Functional renormalization group approach to interacting bosons at zero temperature
- Superfluidity versus Bloch oscillations in confined atomic gases
- Application of Renormalization Group Techniques to a Homogeneous Bose Gas at Finite Temperature
- Non Perturbative Renormalization Group, momentum dependence of -point functions and the transition temperature of the weakly interacting Bose gas
- Equation of state of an interacting Bose gas at finite temperature: a Path Integral Monte Carlo study
- Dimensional crossover of nonrelativistic bosons
- Longitudinal fluctuations in the Berezinskii-Kosterlitz-Thouless phase
- Thermodynamics of a Bose gas near the superfluid--Mott-insulator transition
- Calculation of the pressure of a hot scalar theory within the Non-Perturbative Renormalization Group
- Correlation Effects in Ultracold Two-Dimensional Bose Gases
- Application of the functional renormalization group to Bose gases: from linear to hydrodynamic fluctuations
- Condensate density of interacting bosons: a functional renormalization group approach
Cited by in corpus (8)
- The nonperturbative functional renormalization group and its applications
- Renormalization group study of Bose polarons
- Functional renormalization for repulsive Bose-Bose mixtures at zero temperature
- Flowing bosonization in the nonperturbative functional renormalization-group approach
- Functional renormalisation group approach to the finite-temperature Bose polaron
- Tunneling with physics-informed RG flows in the anharmonic oscillator
- Physics-informed operator flows and observables
- Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group