Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics

• URL: http://arxiv.org/abs/2107.11217v1
• Date: Fri, 23 Jul 2021 13:28:08 GMT
• Title: Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics
• Authors: Thibaut Lacroix, Angus Dunnett, Dominic Gribben, Brendon W. Lovett, Alex Chin
• Abstract summary: We use a Matrix Product State representation of the quantum state of a system and its environment to keep track of the bath explicitly. We predict a non-Markovian dynamics where long-range couplings induce correlations into the environment. The environment dynamics can be naturally extracted from our method and shine a light on long time feedback effects that are responsible for the observed non-Markovian recurrences in the eigen-populations of the system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Nanoscale devices - either biological or artificial - operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually done by tracing out the bath degrees of freedom, which implies losing information about the environment. To go beyond these approaches we use a numerically exact method relying on a Matrix Product State representation of the quantum state of a system and its environment to keep track of the bath explicitly. This method is applied to a specific example of interaction that depends on the spatial structure of the system. The result is that we predict a non-Markovian dynamics where long-range couplings induce correlations into the environment. The environment dynamics can be naturally extracted from our method and shine a light on long time feedback effects that are responsible for the observed non-Markovian recurrences in the eigen-populations of the system.

Related papers

• Engineering Transport via Collisional Noise: a Toolbox for Biology Systems [44.99833362998488]
  We study a generalised XXZ model in the presence of collision noise, which allows to describe environments beyond the standard Markovian formulation. Results constitute an example of the essential building blocks for the understanding of quantum transport in noisy and warm disordered environments.
  arXiv  Detail & Related papers  (2023-11-15T12:55:28Z)
• TANGO: Time-Reversal Latent GraphODE for Multi-Agent Dynamical Systems [43.39754726042369]
  We propose a simple-yet-effective self-supervised regularization term as a soft constraint that aligns the forward and backward trajectories predicted by a continuous graph neural network-based ordinary differential equation (GraphODE) It effectively imposes time-reversal symmetry to enable more accurate model predictions across a wider range of dynamical systems under classical mechanics. Experimental results on a variety of physical systems demonstrate the effectiveness of our proposed method.
  arXiv  Detail & Related papers  (2023-10-10T08:52:16Z)
• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle [49.1574468325115]
  We revisit the thermodynamic behavior of the quantum Otto cycle with a focus on memory effects and strong system-bath couplings. Our investigation is based on an exact treatment of non-Markovianity by means of an exact quantum master equation.
  arXiv  Detail & Related papers  (2023-08-18T11:00:32Z)
• Quantifying environment non-classicality in dissipative open quantum dynamics [0.0]
  We propose a measure that quantifies how far the environment action on a system departs from the influence of classical noise fluctuations. It relies on the lack of commutativity between the initial reservoir state and the system-environment total Hamiltonian.
  arXiv  Detail & Related papers  (2023-05-25T15:11:06Z)
• High-dimensional monitoring and the emergence of realism via multiple observers [41.94295877935867]
  Correlation is the basic mechanism of every measurement model. We introduce a model that interpolates between weak and strong non-selective measurements for qudits.
  arXiv  Detail & Related papers  (2023-05-13T13:42:19Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Unveiling the Markovian to non-Markovian transition with quantum collision models [0.0]
  We study the dynamics of a qubit system in contact with a thermal bath made up of few ancillas, in which system-ancilla and ancilla-ancilla interactions are considered. Results clearly indicate that the information backflows decrease when new ancillas are added to the bath, which sheds light on the nature of the Markovian to non-Markovian transition.
  arXiv  Detail & Related papers  (2022-10-21T14:07:41Z)
• Open quantum dynamics for plant motions [0.0]
  Schr"odinger equations that govern the dynamics of open quantum systems are given by the equations for signal processing. Brownian motion that drives the wave function of the system does not represent noise, but provides purely the arrival of new information. It is argued that biological systems can process environmental signals relatively close to the Landauer limit of computation.
  arXiv  Detail & Related papers  (2022-09-05T13:20:27Z)
• Perturbation theory under the truncated Wigner approximation reveals how system-environment entanglement formation drives quantum decoherence [0.0]
  Quantum decoherence is the disappearance of simple phase relations within a discrete quantum system as a result of interactions with an environment. We introduce a theoretical framework wherein we combine the truncated Wigner approximation with standard time-dependent perturbation theory. We show that the selective suppression of low-frequency environmental modes is particularly effective for mitigating quantum decoherence.
  arXiv  Detail & Related papers  (2022-06-22T18:17:28Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Using the Environment to Understand non-Markovian Open Quantum Systems [0.0]
  We show how to use system correlations, calculated by any method, to infer any correlation function of a Gaussian environment. In order to obtain accurate bath dynamics, we exploit a numerically exact approach to simulating the system dynamics.
  arXiv  Detail & Related papers  (2021-06-08T09:43:03Z)

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.