Mixed state dynamical quantum phase transitions

Bhattacharya, Utso ; Bandyopadhyay, Souvik ; Dutta, Amit (2017) Mixed state dynamical quantum phase transitions Physical Review B, 96 (18). ISSN 2469-9950

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Official URL: http://doi.org/10.1103/PhysRevB.96.180303

Related URL: http://dx.doi.org/10.1103/PhysRevB.96.180303


Preparing an integrable system in a mixed state described by a thermal density matrix , we subject it to a sudden quench and explore the subsequent unitary dynamics. Defining a version of the generalised Loschmidt overlap amplitude (GLOA) through the purifications of the time evolved density matrix, we claim that non-analyiticies in the corresponding "dynamical free energy density" persist and is referred to as mixed state dynamical quantum phase transitions (MSDQPTs). Furthermore, these MSDQPTs are uniquely characterised by a topological index constructed by the application of the Pancharatnam geometry on the purifications of the thermal density matrix; the quantization of this index however persists up to a critical temperature. These claims are corroborated analysing the non-equilibrium dynamics of a transverse Ising chain initially prepared in a thermal state and subjected to a sudden quench of the transverse field.

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ID Code:117167
Deposited On:16 Apr 2021 04:33
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