Universality, Robustness, and Limits of the Eigenstate Thermalization Hypothesis in Open Quantum Systems

• URL: http://arxiv.org/abs/2504.10261v1
• Date: Mon, 14 Apr 2025 14:25:11 GMT
• Title: Universality, Robustness, and Limits of the Eigenstate Thermalization Hypothesis in Open Quantum Systems
• Authors: Gabriel Almeida, Pedro Ribeiro, Masudul Haque, Lucas Sá,
• Abstract summary: We investigate the statistical properties of observables in the eigenbasis of the Lindbladian operator of a Markovian open quantum system.<n>We demonstrate the validity of a Lindbladian ETH ansatz through extensive numerical simulations of several physical models.
• Score: 0.40498500266986387
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The eigenstate thermalization hypothesis (ETH) underpins much of our modern understanding of the thermalization of closed quantum many-body systems. Here, we investigate the statistical properties of observables in the eigenbasis of the Lindbladian operator of a Markovian open quantum system. We demonstrate the validity of a Lindbladian ETH ansatz through extensive numerical simulations of several physical models. To highlight the robustness of Lindbladian ETH, we consider what we dub the dilute-click regime of the model, in which one postselects only quantum trajectories with a finite fraction of quantum jumps. The average dynamics are generated by a non-trace-preserving Liouvillian, and we show that the Lindbladian ETH ansatz still holds in this case. On the other hand, the no-click limit is a singular point at which the Lindbladian reduces to a doubled non-Hermitian Hamiltonian and Lindbladian ETH breaks down.

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