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arXiv · 1303.0782

Statistics of the work done by splitting a one-dimensional quasi-condensate

Spyros Sotiriadis·Andrea Gambassi·Alessandro Silva
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Abstract

Motivated by experiments on splitting one-dimensional quasi-condensates, we study the statistics of the work done by a quantum quench in a bosonic system. We discuss the general features of the probability distribution of the work and focus on its behaviour at the lowest energy threshold, which develops an edge singularity. A formal connection between this probability distribution and the critical Casimir effect in thin classical films shows that certain features of the edge singularity are universal as the post-quench gap tends to zero. Our results are quantitatively illustrated by an exact calculation for non-interacting bosonic systems. The effects of finite system size, dimensionality, and non-zero initial temperature are discussed in detail.

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Spyros Sotiriadis, Andrea Gambassi, Alessandro Silva. 2013-06-19. Statistics of the work done by splitting a one-dimensional quasi-condensate. https://doi.org/10.1103/physreve.87.052129

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