Quantum Fisher Information for Different States and Processes in Quantum Chaotic Systems

• URL: http://arxiv.org/abs/2304.01657v1
• Date: Tue, 4 Apr 2023 09:28:19 GMT
• Title: Quantum Fisher Information for Different States and Processes in Quantum Chaotic Systems
• Authors: Fernando Iniguez and Mark Srednicki
• Abstract summary: We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix. We compare our results with earlier results for a local unitary transformation.
• Score: 77.34726150561087
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The quantum Fisher information (QFI) associated with a particular process applied to a many-body quantum system has been suggested as a diagnostic for the nature of the system's quantum state, e.g., a thermal density matrix vs. a pure state in a system that obeys the eigenstate thermalization hypothesis (ETH). We compute the QFI for both an energy eigenstate and a thermal density matrix for a variety of processes in a system obeying ETH, including a change in the hamiltonian that is either sudden (a quench), slow (adiabatic), or followed by contact with a heat bath. We compare our results with earlier results for a local unitary transformation.

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