Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state

• URL: http://arxiv.org/abs/2303.12162v1
• Date: Tue, 21 Mar 2023 19:42:15 GMT
• Title: Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state
• Authors: Anita D\k{a}browska and Marcin Marciniak
• Abstract summary: We determine filtering and master equations for a quantum system interacting with wave packet of light in a continuous-mode squeezed number state. We formulate the problem of conditional evolution of a quantum system making use of model of repeated interactions and measurements.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We determine filtering and master equations for a quantum system interacting with wave packet of light in a continuous-mode squeezed number state. We formulate the problem of conditional evolution of a quantum system making use of model of repeated interactions and measurements. In this approach the quantum system undergoes a sequence of interactions with an environment defined by a chain of harmonic oscillators. We assume that the environment is prepared in an entangled state being a discrete analogue of a continuous-mode number state. We present a derivation of a discrete stochastic dynamics that depends on the results of measurement performed on the field after its interaction with the system. In this paper we consider a photon counting measurement scheme. By taking a continuous time limit, we finally obtain differential stochastic equations for the system. Analytical formulae for quantum trajectories and exclusive probability densities that allow to fully characterize the statistics of photons in the output field are given.

Related papers

• On the non-Markovian quantum control dynamics [2.0552363908639624]
  We study open-loop control and closed-loop measurement feedback control of non-Markovian quantum dynamics. We use the widely studied quantum cavity electrodynamics (cavity-QED) system as an example.
  arXiv  Detail & Related papers  (2024-08-19T01:47:32Z)
• Continuously Monitored Quantum Systems beyond Lindblad Dynamics [68.8204255655161]
  We study the probability distribution of the expectation value of a given observable over the possible quantum trajectories. The measurements are applied to the entire system, having the effect of projecting the system into a product state.
  arXiv  Detail & Related papers  (2023-05-06T18:09:17Z)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• A tutorial introduction to quantum stochastic master equations based on the qubit/photon system [0.0]
  This article explains the Kraus-map structure of general discrete-time SME governing the dynamics of an open quantum system. Simple linear integration schemes are derived that preserve the positivity and the trace of the density operator.
  arXiv  Detail & Related papers  (2022-08-15T19:38:39Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Stochastic Path Integral Analysis of the Continuously Monitored Quantum Harmonic Oscillator [0.0]
  We deduce the evolution equations for position and momentum expectation values and the covariance matrix elements from the system's characteristic function. Our results provide insights into the time dependence of the system during the measurement process, motivating their importance for quantum measurement engine/refrigerator experiments.
  arXiv  Detail & Related papers  (2021-03-10T15:04:49Z)
• 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)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Moment dynamics and observer design for a class of quasilinear quantum stochastic systems [2.0508733018954843]
  This paper is concerned with a class of open quantum systems whose dynamic variables have an algebraic structure. The system interacts with external bosonic fields, and its Hamiltonian and coupling operators depend linearly on the system variables. The tractability of the moment dynamics is also used for mean square optimal Luenberger observer design in a measurement-based filtering problem for a quasilinear quantum plant.
  arXiv  Detail & Related papers  (2020-12-15T11:01:53Z)
• Quantum Dynamics under continuous projective measurements: non-Hermitian description and the continuous space limit [0.0]
  The time of arrival of a quantum system in a specified state is considered in the framework of the repeated measurement protocol. For a particular choice of system-detector coupling, the Zeno effect is avoided and the system can be described effectively by a non-Hermitian effective Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-02T13:29:22Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)

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.