Relation between equilibrium quantum phase transitions and dynamical quantum phase transitions in two-band systems

• URL: http://arxiv.org/abs/2411.07181v1
• Date: Mon, 11 Nov 2024 17:57:45 GMT
• Title: Relation between equilibrium quantum phase transitions and dynamical quantum phase transitions in two-band systems
• Authors: Yumeng Zeng, Shu Chen,
• Abstract summary: We give a necessary and sufficient condition for the occurrence of DQPTs in two-band systems. The relation between EQPTs and DQPTs is analyzed in detail in terms of the quench fidelity.
• Score: 4.889561507168047
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• Abstract: The dynamical quantum phase transition (DQPT) is an important concept in non-equilibrium critical phenomena, however, its relation to the equilibrium quantum phase transition (EQPT) remains obscure. Substantial evidences have suggested that quenching across the underlying equilibrium phase boundary is neither a sufficient nor a necessary condition for the existence of the DQPT. In this work, we give a necessary and sufficient condition for the occurrence of DQPTs in two-band systems by introducing the quench fidelity, which is defined as the fidelity between the ground state wavefunctions of the pre-quench and post-quench Hamiltonian, and elaborate it by taking one-dimensional anisotropic XY model as an example. The relation between EQPTs and DQPTs is analyzed in detail in terms of the quench fidelity.

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