Quantized dynamics in closed quantum systems
arXiv:2012.03714 · doi:10.1088/1751-8121/abf45e
Abstract
We propose an approach to process data from interferometric measurements on a closed quantum system at random times. For this purpose a time correlation matrix is introduced which enables us to extract dynamical properties of the quantum system. After defining a generalized expectation value we obtain a distribution of time scales, an average transition time and a correlation time. A classical limit exists which is separated from the quantum fluctuations. The latter are characterized by resonances associated with poles of the generalized expectation value. Its analytic behavior is studied and some generic properties are linked to a quantized Berry phase.
arXiv comment11 pages, 2 figures
References in corpus (28)
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- Random-Matrix Theory of Quantum Transport
- Analogs of quantum Hall effect edge states in photonic crystals
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Measurement-driven entanglement transition in hybrid quantum circuits
- Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
- Photonic analog of graphene model and its extension -- Dirac cone, symmetry, and edge states --
- The power of random measurements: measuring Tr(ρ^n) on single copies of ρ
- Hitting time for quantum walks on the hypercube
- Recurrence for discrete time unitary evolutions
- Recurrence and Pólya number of quantum walks
- Unitary -designs via random quenches in atomic Hubbard and Spin models: Application to the measurement of Rényi entropies
- Quantum walks with infinite hitting times
- Detection of a quantum particle on a lattice under repeated projective measurements
- Quantum walks: the first detected passage time problem
- Quantum walks on quotient graphs
- First detected arrival of a quantum walker on an infinite line
- Quantum recurrence of a subspace and operator-valued Schur functions
- Hitting time for the continuous quantum walk
- Survival of classical and quantum particles in the presence of traps
- Probing Measurement Induced Effects in Quantum Walks via Recurrence
- Large fluctuations of the first detected quantum return time
- Quantum Renewal Equation for the first detection time of a quantum walk
- Return to origin problem for particle on a one-dimensional lattice with quasi-Zeno dynamics
- Generalized Kac's Lemma for Recurrence Time in Iterated Open Quantum Systems
- The first detection time of a quantum state under random probing
- Hilbert-space localization in closed quantum systems
- Circular edge states in photonic crystals with a Dirac node