Fermionization and bosonization of expanding one-dimensional anyonic fluids
@article{Campo2008FermionizationAB, title={Fermionization and bosonization of expanding one-dimensional anyonic fluids}, author={Adolfo del Campo}, journal={Physical Review A}, year={2008}, volume={78} }
Departamento de Qu´imica-F´isica, Universidad del Pa´is Vasco, Apartado 644, 48080 Bilbao, Spain(Dated: May 27, 2008)The momentum distribution of an expanding cloud of one-dimensional hard-core anyons is stud-ied by an exact numerical approach, and shown to become indistinguishable from that of a non-interacting spin-polarized Fermi gas for large enough times (dynamical fermionization). We alsoconsider the expansion of one-dimensional anyons with strongly attractive short-range…
44 Citations
Quasimomentum distribution and expansion of an anyonic gas
- Physics
- 2018
We point out that the momentum distribution is not a proper observable for a system of anyons in two-dimensions. In view of anyons as Wilczek's composite charged flux-tubes, this is a consequence of…
One-dimensional impenetrable anyons in thermal equilibrium: IV. Large time and distance asymptotic behavior of the correlation functions
- Physics
- 2010
This work presents the derivation of the large time and distance asymptotic behavior of the field–field correlation functions of impenetrable one-dimensional anyons at finite temperature. In the…
One-dimensional impenetrable anyons in thermal equilibrium: III. Large distance asymptotics of the space correlations
- Mathematics
- 2009
Using the determinant representation for the field–field correlation functions of impenetrable anyons at finite temperature obtained in [1], we derive a system of nonlinear partial differential…
Nonequilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Physics
- 2020
We derive an exact description of the non-equilibrium dynamics at finite temperature for the anyonic Tonks-Girardeau gas extending the results of Atas et al. [Phys. Rev. A 95, 043622 (2017)] to the…
Exact quantum decay of an interacting many-particle system: the Calogero–Sutherland model
- Physics
- 2015
The exact quantum decay of a one-dimensional Bose gas with inverse-square interactions is presented. The system is equivalent to a gas of particles obeying generalized exclusion statistics. We…
One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
- Physics
- 2016
Abstract
We investigate the strongly interacting hard-core anyon gases in a one dimensional harmonic potential at finite temperature by extending thermal Bose-Fermi mapping method to thermal…
Correlation functions of one-dimensional strongly interacting two-component gases
- PhysicsPhysical Review A
- 2019
We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes…
Thermodynamics of Statistical Anyons
- Physics
- 2021
In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions. Signatures of these “anyons” have been detected in two-dimensional…
Nonadiabatic Energy Fluctuations of Scale-Invariant Quantum Systems in a Time-Dependent Trap
- PhysicsEntropy
- 2020
In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms of the initial expectation values of the second moments of the Hamiltonian, square position, and squeezing operators.
One dimensional bosons: From condensed matter systems to ultracold gases
- Physics
- 2011
The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with results from exactly solvable models and computational approaches, the concept of bosonic Tomonaga-Luttinger…
References
SHOWING 1-10 OF 19 REFERENCES
Phys
- Rev. Lett. 97, 100402
- 2006
Phys
- Rev. Lett. 98, 240403
- 2007
Phys
- 1, 516,
- 1960
Phys
- Rev. Lett. 94, 240404
- 2005
Phys
- Rev. Lett. 91, 040401 (2003), H. Buljan et al., Phys. Rev. Lett. 100, 080406
- 2008
Phys
- Rev. Lett. 80, 3678
- 1998
Phys
- Rev. Lett. 82, 2536
- 1999
Phys
- Rev. 88, 625
- 1952