Beyond Zeno: Approaching Infinite Temperature upon Repeated Measurements

Abstract

The influence of repeated projective measurements on the dynamics of the state of a quantum system is studied in dependence of the time lag $\tau$ between successive measurements. In the limit of infinitely many measurements of the occupancy of a single state the total system approaches a uniform state. The asymptotic approach to this state is exponential in the case of finite Hilbert space dimension. The rate characterizing this approach undergoes a sharp transition from a monotonically increasing to an erratically varying function of the time between subsequent measurements.

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• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
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• The spectral dimension controls the decay of the quantum first detection probability
• Quantum Brownian motion under generalized position measurements: A converse Zeno scenario
• Non-Hermitian and Zeno limit of quantum systems under rapid measurements
• To Measure, or Not to Measure, That is the Question
• Discrete-time Semiclassical Szegedy Quantum Walks
• Energy fluctuation relations and repeated quantum measurements
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• Unitary dynamics and finite-time measurements: a case study
• Motion from Measurement: The Role of Symmetry of Quantum Measurements
• Energy exchange statistics and fluctuation theorem for non-thermal asymptotic states