Semi-Markov Processes in Open Quantum Systems. III. Large Deviations of First Passage Time Statistics

• URL: http://arxiv.org/abs/2407.01940v1
• Date: Tue, 2 Jul 2024 04:22:11 GMT
• Title: Semi-Markov Processes in Open Quantum Systems. III. Large Deviations of First Passage Time Statistics
• Authors: Fei Liu, Shihao Xia, Shanhe Su,
• Abstract summary: A semi-Markov process method is used to calculate large deviations of first passage time statistics of counting variables in open quantum systems. We illustrate these results via a driven two-level quantum system and apply them to explore quantum violations of the classical kinetic and thermodynamic uncertainty relations.
• Score: 3.2145795920027087
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: A semi-Markov process method is used to calculate large deviations of first passage time statistics of counting variables in open quantum systems. The core formula is an equation of poles. Although it also calculates large deviations of counting statistics of the same variables, the degrees of the equation are distinct with respect to the two statistics. Because the former is usually lower than the latter in the quantum case, analytical solutions for the first passage time statistics are possible. We illustrate these results via a driven two-level quantum system and apply them to explore quantum violations of the classical kinetic and thermodynamic uncertainty relations.

Related papers

• Quantum Onsager relations [0.0]
  I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The results establish a remarkable connection between statistical mechanics and parameter estimation theory.
  arXiv  Detail & Related papers  (2024-03-19T16:50:11Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Variational method for learning Quantum Channels via Stinespring Dilation on neutral atom systems [0.0]
  Quantum systems interact with their environment, resulting in non-reversible evolutions. For many quantum experiments, the time until which measurements can be done might be limited. We introduce a method to approximate a given target quantum channel by means of variationally approximating equivalent unitaries on an extended system.
  arXiv  Detail & Related papers  (2023-09-19T13:06:44Z)
• Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps [41.94295877935867]
  We measure and model the combined relaxation of a qubit coupled to a discrete two-level system(TLS) environment. If the TLSs are much longer-lived than the qubit, non-exponential relaxation and non-Poissonian quantum jumps can be observed.
  arXiv  Detail & Related papers  (2023-07-13T16:51:29Z)
• Lyapunov equation in open quantum systems and non-Hermitian physics [0.0]
  The continuous-time differential Lyapunov equation is widely used in linear optimal control theory. In quantum physics, it is known to appear in Markovian descriptions of linear (quadratic Hamiltonian, linear equations of motion) open quantum systems. We establish the Lyapunov equation as a fundamental and efficient formalism for linear open quantum systems.
  arXiv  Detail & Related papers  (2022-01-03T14:40:07Z)
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems [0.0]
  We investigate the behavior of classical analogs arising upon the removal of interference traits. By comparing the quantum and classical entropy values, it is shown that, instead of entanglement production, such entropies rather provide us with information.
  arXiv  Detail & Related papers  (2021-11-19T11:39:15Z)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
  It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
  arXiv  Detail & Related papers  (2021-01-04T16:09:10Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)
• Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
  We introduce jumptime unraveling as a distinct description of open quantum systems. quantum jump trajectories emerge, physically, from continuous quantum measurements. We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
  arXiv  Detail & Related papers  (2020-01-24T09:35:32Z)
• Local asymptotic equivalence of pure quantum states ensembles and quantum Gaussian white noise [2.578242050187029]
  We analyse the theory of quantum statistical models consisting of ensembles of quantum systems identically prepared in a pure state. We use the LAE result in order to establish minimax rates for the estimation of pure states belonging to Hermite-Sobolev classes of wave functions.
  arXiv  Detail & Related papers  (2017-05-09T17:48:40Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.