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arXiv · 1207.3777

Time-evolution and dynamical phase transitions at a critical time in a system of one dimensional bosons after a quantum quench

Aditi Mitra
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Abstract

A renormalization group approach is used to show that a one dimensional system of bosons subject to a lattice quench exhibits a finite-time dynamical phase transition where an order parameter within a light-cone increases as a non-analytic function of time after a critical time. Such a transition is also found for a simultaneous lattice and interaction quench where the effective scaling dimension of the lattice becomes time-dependent, crucially affecting the time-evolution of the system. Explicit results are presented for the time-evolution of the boson interaction parameter and the order parameter for the dynamical transition as well as for more general quenches.

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Aditi Mitra. 2013-01-02. Time-evolution and dynamical phase transitions at a critical time in a system of one dimensional bosons after a quantum quench. https://doi.org/10.1103/physrevlett.109.260601

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