Detection of quantum phase boundary at finite temperatures in integrable spin models

• URL: http://arxiv.org/abs/2111.11126v3
• Date: Tue, 24 May 2022 15:49:32 GMT
• Title: Detection of quantum phase boundary at finite temperatures in integrable spin models
• Authors: Protyush Nandi, Sirshendu Bhattacharyya, Subinay Dasgupta
• Abstract summary: Quantum phase transitions occur when quantum fluctuation destroys order at zero temperature. With an increase in temperature, normally the thermal fluctuation wipes out any signs of this transition. Here we identify a physical quantity that shows non-analytic behaviour at finite temperatures.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum phase transitions occur when quantum fluctuation destroys order at zero temperature. With an increase in temperature, normally the thermal fluctuation wipes out any signs of this transition. Here we identify a physical quantity that shows non-analytic behaviour at finite temperatures, when an interaction parameter is quenched across the line of quantum phase transition. This quantity under consideration is the long time limit of a form of quantum fidelity. Our treatment is analytic for XY chain and 2D Kitaev model and is numerical for a 3D Hamiltonian applicable to Weyl semimetals.

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