A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein
Condensate
- URL: http://arxiv.org/abs/2311.05361v1
- Date: Thu, 9 Nov 2023 13:40:31 GMT
- Title: A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein
Condensate
- Authors: Benjamin Hinrichs, Jonas Lampart
- Abstract summary: impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound.
The system thus exhibits superfluid behavior, as this quasi-particle does not experience friction.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In the Bogoliubov-Fr\"ohlich model, we prove that an impurity immersed in a
Bose-Einstein condensate forms a stable quasi-particle when the total momentum
is less than its mass times the speed of sound. The system thus exhibits
superfluid behavior, as this quasi-particle does not experience friction. We do
not assume any infrared or ultraviolet regularization of the model, which
contains massless excitations and point-like interactions.
Related papers
- Classical derivation of Bose-Einstein statistics [0.0]
I prove that, at thermal equilibrium, the observed distribution of energy is a Bose-Einstein distribution.
I identify characteristics of the classical independent-oscillator Hamiltonian that make my derivation of the distribution possible.
arXiv Detail & Related papers (2023-08-03T22:46:11Z) - Dynamics of polaron formation in 1D Bose gases in the strong-coupling
regime [0.0]
We discuss the dynamics of the formation of a Bose polaron when an impurity is injected into a weakly interacting Bose condensate.
We use Truncated Wigner simulations to show under what conditions the influence of quantum fluctuations is small.
arXiv Detail & Related papers (2023-04-27T19:55:18Z) - Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall.
We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z) - Formation of robust bound states of interacting microwave photons [148.37607455646454]
One of the hallmarks of interacting systems is the formation of multi-particle bound states.
We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model.
By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
arXiv Detail & Related papers (2022-06-10T17:52:29Z) - In-Gap Band Formation in a Periodically Driven Charge Density Wave
Insulator [68.8204255655161]
Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium.
We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
arXiv Detail & Related papers (2022-05-19T13:28:47Z) - Floquet-heating-induced Bose condensation in a scar-like mode of an open
driven optical-lattice system [62.997667081978825]
We show that the interplay of bath-induced dissipation and controlled Floquet heating can give rise to non-equilibrium Bose condensation.
Our predictions are based on a microscopic model that is solved using kinetic equations of motion derived from Floquet-Born-Markov theory.
arXiv Detail & Related papers (2022-04-14T17:56:03Z) - Regularized Zero-Range Hamiltonian for a Bose Gas with an Impurity [77.34726150561087]
We study the Hamiltonian for a system of N identical bosons interacting with an impurity.
We introduce a three-body force acting at short distances.
The effect of this force is to reduce to zero the strength of the zero-range interaction between two particles.
arXiv Detail & Related papers (2022-02-25T15:34:06Z) - Bloch oscillations in supersolids [0.0]
We show that the motion of an accelerated atomic impurity immersed in a spin-orbit coupled Bose-Einstein condensate in the supersolid phase undergoes oscillations.
This is similar to the well-known phenomenon of Bloch oscillations in solids.
arXiv Detail & Related papers (2021-12-01T06:59:34Z) - Bose--Einstein condensation for particles with repulsive short-range
pair interactions in a Poisson random external potential in $\mathbb R^d$ [0.0]
We study Bose gases in $d$ dimensions, $d ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit.
For sufficiently strong interparticle interactions, we show that almost surely there cannot be Bose-Einstein condensation into a sufficiently localized, normalized one-particle state.
arXiv Detail & Related papers (2021-10-09T14:52:14Z) - Solvable model of a generic driven mixture of trapped Bose-Einstein
condensates and properties of a many-boson Floquet state at the limit of an
infinite number of particles [0.0]
A solvable model of a periodically-driven mixture of Bose-Einstein condensates is presented.
The model generalizes the harmonic-interaction model for the time-dependent domain.
We investigate the imprinting of momentum and its fluctuations when steering a Bose-Einstein condensate by an interacting bosonic impurity.
arXiv Detail & Related papers (2020-10-29T15:01:59Z) - Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit.
We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront.
The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
arXiv Detail & Related papers (2020-03-09T21:27:02Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.