# Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases

@article{Mazets2011IntegrabilityBI, title={Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases}, author={Igor E. Mazets}, journal={The European Physical Journal D}, year={2011}, volume={65}, pages={43-47} }

Abstract
A system of identical bosons with short-range (contact) interactions is studied. Their motion is confined to one dimension by a tight lateral trapping potential and, additionally, subject to a weak harmonic confinement in the longitudinal direction. Finite delay time associated with penetration of quantum particles through each other in the course of a pairwise one-dimensional collision in the presence of the longitudinal potential makes the system non-integrable and, hence, provides a…

## 16 Citations

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## References

SHOWING 1-10 OF 63 REFERENCES

Weakly interacting Bose gas in the one-dimensional limit.

- PhysicsPhysical review letters
- 2010

A new interferometric method is introduced to distinguish the quasicondensate fraction of the gas from the thermal cloud at finite temperature and at the lowest temperatures the transverse-momentum distribution exhibits a residual dependence on the line density n(1D), characteristic for 1D systems.

Thermalization in a quasi-one-dimensional ultracold bosonic gas

- Physics
- 2010

We study the collisional processes that can lead to thermalization in one-dimensional (1D) systems. For two-body collisions, excitations of transverse modes are the prerequisite for energy exchange…

Fermionization dynamics of a strongly interacting one-dimensional Bose gas after an interaction quench

- Physics
- 2010

We study the dynamics of a one-dimensional Bose gas after a sudden change of the interaction strength from zero to a finite value using the numerical time-evolving block decimation (TEBD) algorithm.…

Restoring integrability in one-dimensional quantum gases by two-particle correlations

- Physics
- 2009

We show that thermalization and the breakdown of integrability in the one dimensional Lieb-Liniger model caused by local three-body elastic interactions is suppressed by pairwise quantum correlations…

Breakdown of integrability in a quasi-1D ultracold bosonic gas.

- PhysicsPhysical review letters
- 2008

We demonstrate that virtual excitations of higher radial modes in an atomic Bose gas in a tightly confining waveguide result in effective three-body collisions that violate integrability in this…

EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE

- Physics
- 1963

A gas of one-dimensional Bose particles interacting via a repulsive delta-function potential has been solved exactly. All the eigenfunctions can be found explicitly and the energies are given by the…

Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons

- Physics
- 1998

We calculate, within the pseudopotential approximation, a one-dimensional scattering amplitude and effective one-dimensional interaction potential for atoms confined transversally by an atom…

Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum

- Physics
- 1963

We continue the analysis of the one-dimensional gas of Bose particles interacting via a repulsive delta function potential by considering the excitation spectrum. Among other things we show that: (i)…

Collective oscillations of a classical gas confined in harmonic traps

- Physics
- 1999

Starting from the Boltzmann equation, we calculate the frequency and the damping of the collective oscillations of a classical gas confined by a harmonic potential. Both the monopole and quadrupole…