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arXiv · 1104.5631

The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise

Takuya Kitagawa·Adilet Imambekov·Jörg Schmiedmayer·Eugene Demler
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Abstract

Quantum noise correlations have been employed in several areas in physics including condensed matter, quantum optics and ultracold atom to reveal non-classical states of the systems. So far, such analysis mostly focused on systems in equilibrium. In this paper, we show that quantum noise is also a useful tool to characterize and study the non-equilibrium dynamics of one dimensional system. We consider the Ramsey sequence of one dimensional, two-component bosons, and obtain simple, analytical expressions of time evolutions of the full distribution functions for this strongly-correlated, many-body system. The analysis can also be directly applied to the evolution of interference patterns between two one dimensional quasi-condensates created from a single condensate through splitting. Using the tools developed in this paper, we demonstrate that one dimensional dynamics in these systems exhibits the phenomenon known as "prethermalization", where the observables of {\it non-equilibrium}, long-time transient states become indistinguishable from those of thermal {\it equilibrium} states.

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Takuya Kitagawa, Adilet Imambekov, Jörg Schmiedmayer, Eugene Demler. 2011-06-15. The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise. https://doi.org/10.1088/1367-2630%2F13%2F7%2F073018

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