s -wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps

-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps},
  author={Min He and Qi Zhou},
  journal={Physical Review A},
  • M. He, Qi Zhou
  • Published 1 August 2017
  • Physics
  • Physical Review A
In quasi-one- or quasi-two-dimensional traps with strong transverse confinements, quantum gases behave like strictly one- or two-dimensional systems at large length scales. However, at short distance, the two-body scattering intrinsically has three-dimensional characteristics such that an exact description of any universal thermodynamic relation requires three-dimensional contacts, no matter how strong the confinement is. A fundamental question arises as to whether one- or two-dimensional… 

Figures from this paper

Tan's two-body contact across the superfluid transition of a planar Bose gas.
A Ramsey interferometric method is used to realize experimentally the thermodynamic definition of the two-body contact, i.e., the change of the internal energy in a small modification of the scattering length.
Large-momentum tail of one-dimensional Fermi gases with spin-orbit coupling
We study the contacts, large-momentum tail, and universal relations for an ultracold one-dimensional (1D) two-component Fermi gas with spin-orbit coupling (SOC). Different from previous studies, we
Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one
We unravel the stationary properties and the interaction quench dynamics of two bosons, confined in a two-dimensional anisotropic harmonic trap. A transcendental equation is derived giving access to


Universal properties of Fermi gases in arbitrary dimensions
We consider spin-1/2 Fermi gases in arbitrary, integer or non-integer spatial dimensions, interacting via a Dirac delta potential. We first generalize the method of Tan's distributions and implement
General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
We derive exact general relations between various observables for N bosons with zero-range interactions, in two or three dimensions, in an arbitrary external potential. Some of our results are
Tan relations in one dimension
We derive exact relations that connect the universal $C/k^4$-decay of the momentum distribution at large $k$ with both thermodynamic properties and correlation functions of two-component Fermi gases
Concept of a Contact Spectrum and Its Applications in Atomic Quantum Hall States.
It is shown that the concept of contact can be generalized to an arbitrary partial-wave scattering, which is particularly useful for characterizing many-body correlations in atomic quantum Hall states (QHSs).
Evidence for universal relations describing a gas with p-wave interactions
In dilute gases, a set of universal relations, known as the contact relations, directly connects thermodynamics and microscopic properties. So far, they have been established only for interactions
General relations for quantum gases in two and three dimensions: Two-component fermions
We derive exact relations for $N$ spin-1/2 fermions with zero-range or short-range interactions, in continuous space or on a lattice, in $2D$ or in $3D$, in any external potential. Some of them
Universal contact of strongly interacting fermions at finite temperatures
The recently discovered universal thermodynamic behavior of dilute, strongly interacting Fermi gases also implies a universal structure in the many-body pair-correlation function at short distances,
Critical behaviours of contact near phase transitions
This work establishes an intrinsic connection between the universality of dilute many-body systems and universal critical phenomena near a phase transition, and uses a prototypical exactly solvable model to demonstrate these critical behaviours in one-dimensional strongly interacting fermions.
Contact matrix in dilute quantum systems
Contact has been well established as an important quantity to govern dilute quantum systems, in which the pairwise correlation at short distance traces a broad range of thermodynamic properties. So
Measurements of Tan's contact in an atomic Bose-Einstein condensate.
In the contact spectroscopy, in a region of observable beyond-mean-field effects, it is found that there is no measurable contribution from three-body physics.