Perpetual motion of a mobile impurity in a one-dimensional quantum gas

Abstract

Consider an impurity particle injected in a degenerate one-dimensional gas of noninteracting fermions (or, equivalently, Tonks-Girardeau bosons) with some initial momentum $p_0$. We examine the infinite-time value of the momentum of the impurity, $p_{\infty }$, as a function of $p_0$. A lower bound on $|p_{\infty }(p_0)|$ is derived under fairly general conditions. The derivation, based on the existence of the lower edge of the spectrum of the host gas, does not resort to any approximations. The existence of such bound implies the perpetual motion of an impurity in a one-dimensional gas of noninteracting fermions or Tonks-Girardeau bosons at zero temperature. The bound has an especially simple and useful form when the interaction between the impurity and host particles is everywhere repulsive.

References in corpus (2)

• Many-Body Physics with Ultracold Gases
• Absence of Thermalization in Nonintegrable Systems

Cited by in corpus (19)

• Quantum Impurity in a One-dimensional Trapped Bose Gas
• Momentum relaxation of a mobile impurity in a one-dimensional quantum gas
• Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas
• The impact of the injection protocol on an impurity's stationary state
• Dissipative correlated dynamics of a moving impurity immersed in a Bose-Einstein Condensate
• Motion of a distinguishable impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
• Quantum Boltzmann equation for a mobile impurity in a degenerate Tonks-Girardeau gas
• Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons
• Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid
• Superfluidity of Bose-Einstein condensates in ultracold atomic gases
• Ponderous impurities in a Luttinger liquid
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• Quantum Many-Body Adiabaticity, Topological Thouless Pump and Driven Impurity in a One-Dimensional Quantum Fluid
• Dynamics of impurity in the environment of Dirac fermions
• Beyond superfluidity in driven non-equilibrium Bose-Einstein condensates
• One-dimensional Fermi polaron after a kick: two-sided singularity of the momentum distribution, Bragg reflection and other exact results
• Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
• Impurity in a zero-temperature three-dimensional Fermi gas
• Momentum Evolution Numerics of an Impurity in a Quantum Quench