Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
H. Buljan, R. Pezer, T. Gasenzer
TL;DR
This paper presents an exact method to solve the time-dependent Lieb-Liniger model of interacting bosons by transforming a free fermionic wave function using a differential Fermi-Bose mapping operator, enabling precise analysis of free expansion dynamics.
Contribution
It introduces a novel differential Fermi-Bose transformation that provides exact solutions for the time-dependent Lieb-Liniger gas, advancing analytical tools for interacting quantum gases.
Findings
Exact solutions for the time-dependent Lieb-Liniger gas are constructed.
The transformation depends explicitly on interaction strength and particle number.
The method enables detailed analysis of free expansion dynamics.
Abstract
Exact solutions of the Schrodinger equation describing a freely expanding Lieb-Liniger (LL) gas of delta-interacting bosons in one spatial dimension are constructed. The many-body wave function is obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function which obeys the Schrodinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator which depends on the strength of the interaction and the number of particles.
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