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The momentum distribution of an expanding cloud of one-dimensional hard-core anyons is studied by an exact numerical approach, and shown to become indistinguishable from that of a non-interacting spin-polarized Fermi gas for large enough…

Statistical Mechanics · Physics 2009-11-13 A. del Campo

We develop an exact approach to study the quench dynamics of hard-core bosons initially in thermal equilibrium in one-dimensional lattices. This approach is used to study the sudden expansion of thermal states after confining potentials are…

Quantum Gases · Physics 2018-01-23 Wei Xu , Marcos Rigol

We observe dynamical fermionization, where the momentum distribution of a Tonks-Girardeau (T-G) gas of strongly interacting bosons in 1D evolves from bosonic to fermionic after its axial confinement is removed. The asymptotic momentum…

Quantum Gases · Physics 2020-03-30 Joshua M. Wilson , Neel Malvania , Yuan Le , Yicheng Zhang , Marcos Rigol , David S. Weiss

We consider a strongly interacting one-dimensional (1D) Bose-Fermi mixture confined in a harmonic trap. It consists of a Tonks-Girardeau (TG) gas (1D Bose gas with repulsive hard-core interactions) and of a non-interacting Fermi gas (1D…

Other Condensed Matter · Physics 2009-03-02 Bess Yiyuan Fang , Patrizia Vignolo , Christian Miniatura , Anna Minguzzi

We consider the single particle correlations and momentum distributions in a gas of strongly interacting spinless 1D fermions with zero-range interactions. This system represents a fermionic version of the Tonks-Girardeau gas of…

Other Condensed Matter · Physics 2009-11-10 Scott A. Bender , Kevin D. Erker , Brian E. Granger

We study the sudden expansion of spin-imbalanced ultracold lattice fermions with attractive interactions in one dimension after turning off the longitudinal confining potential. We show that the momentum distribution functions of majority…

Strongly Correlated Electrons · Physics 2012-09-19 C. J. Bolech , F. Heidrich-Meisner , S. Langer , I. P. McCulloch , G. Orso , M. Rigol

For a harmonically trapped system consisting of two bosons in one spatial dimension with infinite contact repulsion (hard core bosons), we derive an expression for the one-body density matrix $\rho_B$ in terms of centre of mass and relative…

Atomic Physics · Physics 2021-04-15 K. Bencheikh , L. M. Nieto , L. U. Ancarani

After release from the trap the momentum distribution of an impenetrable gas asymptotically approaches that of a spinless noninteracting Fermi gas in the initial trap. This phenomenon is called dynamical fermionization and, very recently,…

Quantum Gases · Physics 2022-06-13 Ovidiu I. Patu

We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential.…

Quantum Gases · Physics 2009-10-01 Xiaoming Cai , Liming Guan , Shu Chen , Yajiang Hao , Yupeng Wang

We numerically study free expansion of a few Lieb-Liniger bosons, which are initially in the ground state of an infinitely deep hard-wall trap. Numerical calculation is carried out by employing a standard Fourier transform, as follows from…

Other Condensed Matter · Physics 2009-11-13 D. Jukić , B. Klajn , H. Buljan

We provide an account of the static and dynamic properties of hard-core bosons in a one-dimensional lattice subject to a multi-chromatic quasiperiodic potential for which the single-particle spectrum has mobility edges. We use the mapping…

Quantum Gases · Physics 2013-06-21 Pedro Ribeiro , Masudul Haque , Achilleas Lazarides

A variational Monte Carlo calculation of the one-body density matrix and momentum distribution of a system of Fermi hard rods (HR) is presented and compared with the same quantities for its bosonic counterpart. The calculation is exact…

Statistical Mechanics · Physics 2009-11-13 F. Mazzanti , G. E. Astrakharchik , J. Boronat , J. Casulleras

Building on the recent experimental achievements obtained with scanning electron microscopy on ultracold atoms, we study one-dimensional Bose gases in the crossover between the weakly (quasi-condensate) and the strongly interacting…

Quantum Gases · Physics 2012-08-08 V. Guarrera , D. Muth , R. Labouvie , A. Vogler , G. Barontini , M. Fleischhauer , H. Ott

One-dimensional spinor gases with strong delta interaction fermionize and form a spin chain. The spatial degrees of freedom of this atom chain can be described by a mapping to spinless noninteracting fermions and the spin degrees of freedom…

Quantum Gases · Physics 2016-09-22 Frank Deuretzbacher , Daniel Becker , Luis Santos

Using the exact $N$-particle ground state wave function for a one-dimensional gas of hard-core bosons in a harmonic trap we develop an algorithm to compute the reduced single-particle density matrix and corresponding momentum distribution.…

Quantum Gases · Physics 2013-03-25 G. J. Lapeyre, , M. D. Girardeau , E. M. Wright

Free expansion following the removal of axial confinement represents a fundamental nonequilibrium scenario in the study of many-body ultracold gases. Using the stationary phase approximation, we analytically demonstrate that for all…

Quantum Gases · Physics 2025-08-05 Ovidiu I. Patu , Gianni Aupetit-Diallo

We study the physics of a rapidly-rotating gas of ultracold atomic bosons, with an internal degree of freedom. We show that in the limit of rapid rotation of the trap the problem exactly maps onto that of non-interacting fermions with spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Paredes , P. Zoller , J. I. Cirac

Experimental control over ultracold quantum gases has made it possible to investigate low-dimensional systems of both bosonic and fermionic atoms. In closed 1D systems there are a lot of similarities in the dynamics of local quantities for…

Quantum Physics · Physics 2018-05-30 Jorge Yago Malo , Evert P. L. van Nieuwenburg , Mark H. Fischer , Andrew J. Daley

We use our recently developed functional bosonization approach to bosonize interacting fermions in arbitrary dimension $d$ beyond the Gaussian approximation. Even in $d=1$ the finite curvature of the energy dispersion at the Fermi surface…

Condensed Matter · Physics 2016-08-31 Peter Kopietz , Joachim Hermisson , Kurt Schoenhammer

A well-known feature of the classical monoatomic gas is that its bulk viscosity is strongly suppressed because the single-particle dispersion is quadratic. On the other hand, in condensed matter systems the effective single-particle…

Quantum Gases · Physics 2023-03-02 Wade DeGottardi , K. A. Matveev
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