Mean-field construction for spectrum of one-dimensional Bose polaron
arXiv:1903.05953 · doi:10.1016/j.aop.2019.167933
Abstract
The full momentum dependence of spectrum of a point-like impurity immersed in a dilute one-dimensional Bose gas is calculated on the mean-field level. In particular we elaborate, to the finite-momentum Bose polaron, the path-integral approach whose semi-classical approximation leads to the conventional mean-field treatment of the problem while quantum corrections can be easily accounted by standard loop expansion techniques. The extracted low-energy parameters of impurity spectrum, namely, the binding energy and the effective mass of particle, are shown to be in qualitative agreement with the results of quantum Monte Carlo simulations.
8+epsilon pages, 7 figures
References in corpus (42)
- Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
- Quantum dynamics of impurities in a 1D Bose gas
- Field-theoretical study of the Bose polaron
- Dynamics of single neutral impurity atoms immersed in an ultracold gas
- Fermi-Bose mapping for one-dimensional Bose gases
- Quasiparticle properties of a mobile impurity in a Bose-Einstein condensate
- Creation of Rydberg Polarons in a Bose Gas
- Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
- Renormalization group approach to the Fröhlich polaron model: application to impurity-BEC problem
- Self-trapping of impurities in Bose-Einstein condensates: Strong attractive and repulsive coupling
- Strong coupling Bose polarons in a BEC
- Analytical approach to the Bose polaron problem in one dimension
- Diagrammatic Monte Carlo study of the acoustic and the BEC polaron
- Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
- Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
- Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap
- Bose polaron as an instance of quantum Brownian motion
- Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
- Real-space dynamics of attractive and repulsive polarons in Bose-Einstein condensates
- Quantum Impurity in a One-dimensional Trapped Bose Gas
- Critical velocity of a mobile impurity in one-dimensional quantum liquids
- Dynamics of a one-dimensional spinor Bose liquid: a phenomenological approach
- Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
- Tunable Fröhlich Polarons of slow-light polaritons in a two-dimensional Bose-Einstein condensate
- Stationary states of the Gross-Pitaevskii equation with linear counterpart
- Impurity Green's function of a one-dimensional Fermi-gas
- Strong coupling Bose polarons out of equilibrium: Dynamical RG approach
- From non equilibrium quantum Brownian motion to impurity dynamics in 1D quantum liquids
- Breathing oscillations of a trapped impurity in a Bose gas
- The Casimir-like effect in a one-dimensional Bose gas
- An all-coupling theory for the Fröhlich polaron
- Analytical study of static beyond-Frohlich Bose polarons in one dimension
- Time and temperature-dependent correlation function of an impurity in a one-dimensional Fermi gas as a Fredholm determinant
- Impurity states in the one-dimensional Bose gas
- Variational approach to the ground state of an impurity in Bose-Einstein condensate
- Polaron in dilute 2D Bose gas at low temperatures
- Effective potential renormalization and polaronic mass shift in a trapped dynamical impurity-luttinger liquid system
- Gaussian impurity moving through a Bose-Einstein superfluid
- Infrared behavior of dipolar Bose systems at low temperatures
- Behavior of the impurity atom in a weakly-interacting Bose gas
- Impurity self-energy in the strongly-correlated Bose systems
- Mean-field properties of impurity in Bose gas with three-body forces
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- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Strong-coupling Bose polarons in 1D: Condensate deformation and modified Bogoliubov phonons
- Mediated interaction between polarons in a one-dimensional Bose gas
- Impurities in a one-dimensional Bose gas: the flow equation approach
- Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases
- Mean-field study of repulsive 2D and 3D Bose polarons
- Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
- Inducing spin-order with an impurity: phase diagram of the magnetic Bose polaron
- Mobile impurities interacting with a few one-dimensional lattice bosons
- Polaron-Depleton Transition in the Yrast Excitations of a One-Dimensional Bose Gas with a Mobile Impurity
- Artificial atoms from cold bosons in one dimension
- Morphology of three-body quantum states from machine learning
- Impurity in a three-dimensional unitary Bose gas
- Mobile impurity in a one-dimensional gas at finite temperatures
- Dynamics of polaron formation in 1D Bose gases in the strong-coupling regime
- Dissipative dynamics of an impurity with spin-orbit coupling
- Exact result for the polaron mass in a one-dimensional Bose gas
- Stochastic-field approach to the quench dynamics of the one-dimensional Bose polaron
- Impurities in a trapped 1D Bose gas of arbitrary interaction strength: localization-delocalization transition and absence of self-localization
- Emergence of a Bose polaron in a small ring threaded by the Aharonov-Bohm flux
- Suppression of polaron self-localization by correlations
- Impurity with a resonance in the vicinity of the Fermi energy
- Relaxation dynamics of a mobile impurity injected into a one-dimensional Bose gas
- Competition of light- and phonon-dressing in microwave-dressed Bose polarons
- Two-spinon effects on the thermal Tonks-Girardeau gas