Related papers: Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians

Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians

URL: http://arxiv.org/abs/2504.11664v2
Date: Sat, 26 Apr 2025 16:32:18 GMT
Title: Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians
Authors: Manali Malakar, Alessandro Silva,
Abstract summary: We present a framework for quantum work statistics in continuously monitored quantum systems.<n>Our approach naturally incorporates non-Hermitian dynamics arising from quantum jump processes.<n>We illustrate our theoretical framework by analyzing a one-dimensional transverse-field Ising model under local spin monitoring.
Score: 50.24983453990065
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We present a generalized framework for quantum work statistics in continuously monitored quantum systems that extends the conventional two-point measurement scheme to include the effects of multiple generalized measurements and post-selection of no-click trajectories. By deriving a modified generating function for work, our approach naturally incorporates non-Hermitian dynamics arising from quantum jump processes and reveals deviations from the standard Jarzynski equality due to measurement-induced asymmetries. We illustrate our theoretical framework by analyzing a one-dimensional transverse-field Ising model under local spin monitoring. In this model, increased measurement strength projects the system onto the no-click state, leading to a suppression of energy fluctuations and measurement-induced energy saturation, reminiscent of the quantum Zeno effect.

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