Emergence of quasi-condensates of hard-core bosons at finite momentum

TL;DR

This paper demonstrates that hard-core bosons in one-dimensional lattices can dynamically form quasi-condensates at finite momentum from a pure Fock state, revealing new insights into non-equilibrium quantum dynamics.

Contribution

It provides an exact analysis of the non-equilibrium dynamics of hard-core bosons, showing the emergence of finite-momentum quasi-condensates and deriving scaling relations for their formation.

Findings

Quasi-long-range correlations develop dynamically from a Fock state.

Quasi-condensates form at finite momenta during evolution.

Scaling relations characterize the condensate formation process.

Abstract

An exact treatment of the non-equilibrium dynamics of hard-core bosons on one-dimensional lattices shows that, starting from a pure Fock state, quasi-long-range correlations develop dynamically, and that they lead to the formation of quasi-condensates at finite momenta. Scaling relations characterizing the quasi-condensate and the dynamics of its formation are obtained. The relevance of our findings for atom lasers with full control of the wave-length by means of a lattice is discussed.