How much work is done on a Luttinger liquid during a quantum quench?

Details How much work is done on a Luttinger liquid during a quantum quench? How much work is done on a Luttinger liquid during a quantum quench?

2012-03-05

arxiv.org/abs/1203.0914v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 2 figures

Scientific paper

We study the statistics of work done on a Luttinger liquid after an interaction ramp of arbitrary duration, ranging from the sudden quench to the adiabatic limit. Fast quenches in large systems yield a generalized Gumbel or a Gaussian distribution, depending on the quench duration, carrying almost all the spectral weight. Slow and small quenches give an oscillating PDF with dips at energies commensurate to the quench duration and an exponential envelope, though most of the spectral weight is transfered to a Dirac-delta peak at the adiabatic ground state energy of the final state. Relevance to cold atoms is discussed.

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