Breakdown of Tan's relation in lossy one-dimensional Bose gases

• URL: http://arxiv.org/abs/2011.13250v2
• Date: Mon, 15 Mar 2021 17:05:14 GMT
• Title: Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Authors: Isabelle Bouchoule and J\'er\^ome Dubail
• Abstract summary: Tan's relation connects the amplitude of that $1/|p|4$ tail to the adiabatic derivative of the energy. The relation breaks down in the one-dimensional Bose gas with contact repulsion, for a peculiar class of stationary states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum gases with contact repulsion, the distribution of momenta of the atoms typically decays as $\sim 1/|p|^4$ at large momentum $p$. Tan's relation connects the amplitude of that $1/|p|^4$ tail to the adiabatic derivative of the energy with respect to the gas' coupling constant or scattering length. Here it is shown that the relation breaks down in the one-dimensional Bose gas with contact repulsion, for a peculiar class of stationary states. These states exist thanks to the infinite number of conserved quantities in the system, and they are characterized by a rapidity distribution which itself decreases as $1/|p|^4$. In the momentum distribution, that rapidity tail adds to the usual Tan contact term. Remarkably, atom losses, which are ubiquitous in experiments, do produce such peculiar states. The development of the tail of the rapidity distribution originates from the ghost singularity of the wavefunction immediately after each loss event. This phenomenon is discussed for arbitrary interaction strengths, and it is supported by exact calculations in the two asymptotic regimes of infinite and weak repulsion.

Related papers

• The density of a one-dimensional Bose gas far from an impurity [55.2480439325792]
  We consider an impurity in a weakly-interacting Bose gas and calculate the density profile of the Bose gas. The effect of quantum fluctuations drastically changes this behavior, leading to a power law decay of the density deviation from the mean density. The obtained results are exact in the impurity coupling strength and account for the leading order in the interaction between the particles of the Bose gas.
  arXiv  Detail & Related papers  (2023-08-29T08:56:24Z)
• Adiabatic amplification of energy and magnetic moment of a charged particle after the magnetic field inversion [77.34726150561087]
  We study the evolution of the energy and magnetic moment of a quantum charged particle placed in a homogeneous magnetic field. We show that after a single magnetic field passage through zero value, the famous adiabatic invariant ratio of energy to frequency is reestablished again.
  arXiv  Detail & Related papers  (2023-04-10T00:46:15Z)
• Adiabatic amplification of the harmonic oscillator energy when the frequency passes through zero [77.34726150561087]
  After a single frequency passage through zero value, the famous adiabatic invariant ratio of energy to frequency is reestablished again. The dependence on the initial state disappears after averaging over phases of initial states with the same energy. The original Born-Fock theorem does not work after the frequency passes through zero.
  arXiv  Detail & Related papers  (2023-03-15T01:18:55Z)
• High-momentum oscillating tails of strongly interacting 1D gases in a box [0.0]
  We study the momentum distribution of strongly interacting mixtures of particles at zero temperature in a box potential. We find that the magnitude of the $1/k4$ tail of the momentum distribution is not only due to short-distance correlations, but also to the presence of the rigid walls.
  arXiv  Detail & Related papers  (2023-02-06T14:45:02Z)
• Anomalous loss behavior in a single-component Fermi gas close to a $p$-Wave Feshbach resonance [0.0]
  We investigate three-body losses in a single-component Fermi gas near a $p$-wave Feshbach resonance. We find that the loss behavior exhibits a $n3$ and an anomalous $n2$ density dependence for elastic-to-inelastic collision rate larger than smaller than 1. These findings are particularly relevant for understanding atom loss and energetic evolution of ultracold gases of fermionic lithium atoms in their ground state.
  arXiv  Detail & Related papers  (2022-10-28T08:21:32Z)
• 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)
• Dimerization of many-body subradiant states in waveguide quantum electrodynamics [137.6408511310322]
  We study theoretically subradiant states in the array of atoms coupled to photons propagating in a one-dimensional waveguide. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization. We reveal the breakdown of fermionized subradiant states with increase of $f$ with emergence of short-ranged dimerized antiferromagnetic correlations.
  arXiv  Detail & Related papers  (2021-06-17T12:17:04Z)
• Singularities in nearly-uniform 1D condensates due to quantum diffusion [0.0]
  We show that Rydberg polaritons formed by electromagnetically-induced transparency exhibit wavelength-dependent loss rates. After a prolonged period in which the condensate appears to relax to a uniform state, local depleted regions quickly form and spread ballistically throughout the system. We show that the wavefronts of the depleted regions are described by purely dissipative solitons within a pair of hydrodynamic equations.
  arXiv  Detail & Related papers  (2021-03-10T19:01:05Z)
• Quantum dynamics and relaxation in comb turbulent diffusion [91.3755431537592]
  Continuous time quantum walks in the form of quantum counterparts of turbulent diffusion in comb geometry are considered. Operators of the form $hatcal H=hatA+ihatB$ are described. Rigorous analytical analysis is performed for both wave and Green's functions.
  arXiv  Detail & Related papers  (2020-10-13T15:50:49Z)
• Quantum non-demolition dispersive readout of a superconducting artificial atom using large photon numbers [0.8049514665620008]
  We present a fluxonium artificial atom in which we measure an overall flat dependence of the transition rates between its first two states. Despite the expected decrease of the dispersive shift with increasing readout power, the signal-to-noise ratio continuously improves with increasing $barn$.
  arXiv  Detail & Related papers  (2020-09-30T16:51:48Z)
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas [0.0]
  We investigate the effects of atom losses in the one-dimensional (1D) Bose gas with repulsive contact interactions. We assume that the loss rate is much smaller than the rate of intrinsic relaxation of the system. We show that losses affect the rapidity distribution in a non-trivial way.
  arXiv  Detail & Related papers  (2020-06-05T17:56:20Z)

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.