Open extended quantum systems

• URL: http://arxiv.org/abs/2412.06453v1
• Date: Mon, 09 Dec 2024 12:52:51 GMT
• Title: Open extended quantum systems
• Authors: Dragi Karevski,
• Abstract summary: We begin with a microscopic derivation of the so-called Lindblad equation followed by a more abstract approach. Next, we introduce collision models, a versatile framework that offers a possible unraveling of the non-unitary dynamics of open quantum systems.
• Score: 0.0
• License:
• Abstract: We present an introduction to the theory of open extended quantum systems. We begin with a microscopic derivation of the so-called Lindblad equation followed by a more abstract approach. Next, we introduce collision models, a versatile framework that offers a possible unraveling of the non-unitary dynamics of open quantum systems. We finally discuss concrete situations involving quantum transport phenomena, the generation and replication of entanglement or even the non-thermal relaxation of cold atomic gases confined in optical traps.

Related papers

• Probing quantum many-body dynamics using subsystem Loschmidt echos [39.34101719951107]
  We experimentally investigate the subsystem Loschmidt echo, a quasi-local observable that captures key features of the Loschmidt echo. In the short-time regime, we observe a dynamical quantum phase transition arising from genuine higher-order correlations. In the long-time regime, the subsystem Loschmidt echo allows us to quantitatively determine the effective dimension and structure of the accessible Hilbert space in the thermodynamic limit.
  arXiv  Detail & Related papers  (2025-01-28T14:51:37Z)
• Criticality-amplified quantum probing of a spontaneous collapse model [0.0]
  Spontaneous collapse models are designed to account for dynamical wavepacket reduction. We introduce a it quantum-probing approach to deriving metrological upper bounds on the free parameters of such empirical models.
  arXiv  Detail & Related papers  (2024-07-12T14:37:58Z)
• Quantum Mechanics of Open Systems in Non-Inertial Motion [9.632520418947305]
  This paper presents a comprehensive framework for analyzing the quantum mechanics of open systems undergoing noninertial motion. We demonstrate that our approach offers a natural understanding of the intricate dynamics among non-inertial effects, decoherence, dissipation, and system-bath entanglement.
  arXiv  Detail & Related papers  (2024-04-10T14:45:04Z)
• Quantum and classical coarsening and their interplay with the Kibble-Zurek mechanism [0.0]
  Out-of-equilibrium dynamics of a quantum system driven across a quantum phase transition is an important problem. We develop a universal description of such coarsening dynamics and their interplay with the Kibble-Zurek mechanism. We highlight how such coarsening dynamics can be directly studied in today's "synthetic" quantum many-body systems.
  arXiv  Detail & Related papers  (2024-01-26T19:00:00Z)
• Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
  Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems. We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices. This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
  arXiv  Detail & Related papers  (2023-06-01T16:49:20Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Operator Growth in Open Quantum Systems [0.4351216340655199]
  We provide a universal framework that describes the scrambling of quantum information in open systems. We show that open quantum systems exhibit universal classes of information dynamics that fundamentally differ from their unitary counterparts.
  arXiv  Detail & Related papers  (2022-08-25T18:00:00Z)
• 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)
• Microscopic biasing of discrete-time quantum trajectories [0.0]
  We consider a discrete-time quantum dynamics, where the open system collides sequentially with qubit probes which are then measured. We show that the desired biasing is achieved by suitably modifying the Kraus operators describing the discrete open dynamics. The above extends the theory of biased quantum trajectories from Lindblad-like dynamics to sequences of arbitrary dynamical maps.
  arXiv  Detail & Related papers  (2020-07-30T18:00:02Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)

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.