High-momentum oscillating tails of strongly interacting 1D gases in a box

Abstract

We study the momentum distribution of strongly interacting one-dimensional mixtures of particles at zero temperature in a box potential. We find that the magnitude of the $1/k^4$ tail of the momentum distribution is not only due to short-distance correlations, but also to the presence of the rigid walls, breaking the Tan's relation relating this quantity to the adiabatic derivative of the energy with respect to the inverse of the interaction strength. The additional contribution is a finite-size effect that includes a $k$-independent and an oscillating part. This latter, surprisingly, encodes information on long-range spin correlations.

arXiv comment6 pages, 2 figures and supplemental materials

References in corpus (38)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Tools for quantum simulation with ultracold atoms in optical lattices
• A one-dimensional liquid of fermions with tunable spin
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Quantum Gases in Optical Boxes
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Strongly interacting confined quantum systems in one dimension
• Tan relations in one dimension
• Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
• Exact relations for quantum-mechanical few-body and many-body problems with short-range interactions in two and three dimensions
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
• Finite one dimensional impenetrable Bose systems: Occupation numbers
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• High-momentum tail in the Tonks gas under harmonic confinement
• Correlation functions of the one-dimensional attractive Bose gas
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Universal contact for a Tonks-Girardeau gas at finite temperature
• Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable Bosons
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Universal Tan relations for quantum gases in one dimension
• Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations
• Cumulant theory of the unitary Bose gas: Prethermal and Efimovian dynamics
• Ballistic quench-induced correlation waves in ultracold gases
• Solution of the BEC to BCS Quench in One Dimension
• Non-interacting fermions in hard-edge potentials
• Universal scaling of spin mixing dynamics in a strongly interacting one-dimensional Fermi gas
• Observation of $1/k^4$-tails after expansion of Bose-Einstein Condensates with impurities
• Tan's contact in a cigar-shaped dilute Bose gas
• Wigner function for noninteracting fermions in hard wall potentials
• Exact solution for $SU(2)$-symmetry breaking bosonic mixtures at strong interactions

Cited by in corpus (4)

• Symmetry oscillations in strongly interacting one-dimensional mixtures
• Thermal fading of the $1/k^4$-tail of the momentum distribution induced by the hole anomaly
• Dynamical probing of high-order spin coherence in one-dimensional mixtures
• Symmetry oscillations sensitivity to SU(2)-symmetry breaking in quantum mixtures