Role of thermal two-phonon scattering for impurity dynamics in a low-dimensional BEC

Abstract

We numerically study the relaxation dynamics of a single, heavy impurity atom interacting with a finite one- or two-dimensional, ultracold Bose-gas. While there is a clear separation of time scales between processes resulting from single- and two-phonon scattering in three spatial dimensions, the thermalization in lower dimensions is dominated by two-phonon processes. This is due to infrared divergencies in the corresponding scattering rates in the thermodynamic limit, which are a manifestation of the Mermin-Wagner-Hohenberg theorem. It makes it necessary to include second-order phonon scattering in one-dimensional systems even at $T=0$ and above a crossover temperature $T_{\text{2ph}}$ in two spatial dimensions. $T_{\text{2ph}}$ scales inversely with the system size and is much smaller than currently experimentally accessible.

7 pages, 4 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Bose polarons at finite temperature and strong coupling
• Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
• Finite-temperature behavior of the Bose polaron
• Prethermalization in the cooling dynamics of an impurity in a BEC
• Entanglement control via reservoir engineering in ultracold atomic gases
• Measuring correlations of cold atom systems using multiple quantum probes

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• Doping a lattice-trapped bosonic species with impurities: From ground state properties to correlated tunneling dynamics
• Pump Probe Spectroscopy of Bose Polarons: Dynamical Formation and Coherence
• The effect of boson-boson interaction on the Bipolaron formation
• Radiofrequency spectroscopy of one-dimensional trapped Bose polarons: crossover from the adiabatic to the diabatic regime
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• Stochastic-field approach to the quench dynamics of the one-dimensional Bose polaron
• Thermodynamics of Trapped Photon Gases at Dimensional Crossover from 2D to 1D
• Rotational cooling of molecules in a Bose-Einstein-Condensate
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering