Quantum dynamics of two trapped bosons following infinite interaction quenches

Fuente: arXiv
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Autori principali: Kehrberger, L. M. A., Bolsinger, V. J., Schmelcher, P.
Natura: Preprint
Pubblicazione: 2017
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author Kehrberger, L. M. A.
Bolsinger, V. J.
Schmelcher, P.
author_facet Kehrberger, L. M. A.
Bolsinger, V. J.
Schmelcher, P.
contents We investigate the quantum dynamics of two identical bosons in a one-dimensional harmonic trap following an interaction quench from zero to infinite interaction strength and vice versa. For both quench scenarios, closed analytical expressions for the temporal evolution of the wave function as well as the Loschmidt Echo are found and the dynamics of the momentum distribution as well as the reduced single-particle density matrix are analyzed. We observe a crossover of these quantities between bosonic, "symmetrized" fermionic and fermionic properties. Furthermore, several combined quenches are analyzed as well.
format Preprint
id arxiv_https___arxiv_org_abs_1710_01637
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle Quantum dynamics of two trapped bosons following infinite interaction quenches
Kehrberger, L. M. A.
Bolsinger, V. J.
Schmelcher, P.
Quantum Physics
We investigate the quantum dynamics of two identical bosons in a one-dimensional harmonic trap following an interaction quench from zero to infinite interaction strength and vice versa. For both quench scenarios, closed analytical expressions for the temporal evolution of the wave function as well as the Loschmidt Echo are found and the dynamics of the momentum distribution as well as the reduced single-particle density matrix are analyzed. We observe a crossover of these quantities between bosonic, "symmetrized" fermionic and fermionic properties. Furthermore, several combined quenches are analyzed as well.
title Quantum dynamics of two trapped bosons following infinite interaction quenches
topic Quantum Physics
url https://arxiv.org/abs/1710.01637