From Stochastic Hamiltonian to Quantum Simulation: Exploring Memory Effects in Exciton Dynamics

• URL: http://arxiv.org/abs/2404.06264v2
• Date: Mon, 8 Jul 2024 15:59:16 GMT
• Title: From Stochastic Hamiltonian to Quantum Simulation: Exploring Memory Effects in Exciton Dynamics
• Authors: Federico Gallina, Matteo Bruschi, Barbara Fresch,
• Abstract summary: We use Hamiltonian propagators to design quantum circuits that simulate exciton transport. We identify a regime of "memory-assisted" quantum transport where time-correlated fluctuations allow the system to reach higher efficiency.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The unraveling of open quantum system dynamics in terms of stochastic quantum trajectories offers a picture of open system dynamics that consistently considers memory effects stemming from the finite correlation time of environment fluctuations. These fluctuations significantly influence the coherence and energy transport properties of excitonic systems. When their correlation time is comparable to the timescale of the Hamiltonian evolution, it leads to the departure of open system dynamics from the Markovian limit. In this work, we leverage the unraveling of exciton dynamics through stochastic Hamiltonian propagators to design quantum circuits that simulate exciton transport, capturing finite memory effects. In addition to enabling the synthesis of parametrizable quantum circuits, stochastic unitary propagators provide a transparent framework for investigating non-Markovian effects on exciton transport. Our analysis reveals a nuanced relationship between environment correlation time and transport efficiency, identifying a regime of "memory-assisted" quantum transport where time-correlated fluctuations allow the system to reach higher efficiency. However, this property is not universal and can only be realized in conjunction with specific features of the system Hamiltonian.

Related papers

• Anomalous transport in U(1)-symmetric quantum circuits [41.94295877935867]
  Investigation of discrete-time transport in a generic U(1)-symmetric disordered model tuned across an array of different dynamical regimes. We develop an aggregate quantity, a circular statistical moment, which is a simple function of the magnetization profile. From this quantity we extract transport exponents, revealing behaviors across the phase diagram consistent with localized, diffusive, and - most interestingly for a disordered system - superdiffusive regimes.
  arXiv  Detail & Related papers  (2024-11-21T17:56:26Z)
• Observing Time-Dependent Energy Level Renormalisation in an Ultrastrongly Coupled Open System [37.69303106863453]
  We show how strong coupling and memory effects influence the energy levels of open quantum systems. Measurements reveal a time-dependent shift in the system's energy levels of up to 15% of the bare system frequency. Our findings provide direct evidence of dynamic energy level renormalisation in strongly coupled open quantum systems.
  arXiv  Detail & Related papers  (2024-08-28T16:40:55Z)
• Dynamical signatures of non-Markovianity in a dissipative-driven qubit [0.0]
  We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a bosonic environment. Non-Markovian features are quantified by comparing on an equal footing the predictions from diverse and complementary approaches to quantum dissipation.
  arXiv  Detail & Related papers  (2024-01-17T15:58:50Z)
• 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)
• 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)
• Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application [0.0]
  We consider a class of open quantum many-body Lindblad dynamics characterized by an all-to-all coupling Hamiltonian. We study the time evolution in the limit of infinitely large systems, and we demonstrate the exactness of the mean-field equations for the dynamics of average operators. Our results allow for a rigorous and systematic investigation of the impact of quantum effects on paradigmatic classical models.
  arXiv  Detail & Related papers  (2023-02-08T15:58:39Z)
• Non-Markovianity between site-pairs in FMO complex using discrete-time quantum jump model [3.0715281567279153]
  We show the presence of higher non-Markovian memory effects in specific site-pairs when internal structures and environmental effects are in favour of faster transport. Our study leans towards the connection between non-Markovianity in quantum jumps with the enhancement of transport efficiency.
  arXiv  Detail & Related papers  (2022-09-02T12:49:09Z)
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
  We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit. This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
  arXiv  Detail & Related papers  (2021-12-08T11:41:38Z)
• Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect [0.0]
  We show that the relaxation dynamics of Markovian open quantum systems can be accelerated exponentially by devising an optimal unitary transformation. This initial "rotation" is engineered in such a way that the state of the quantum system becomes to the slowest decaying dynamical mode. We illustrate our idea by showing how to achieve an exponential speed-up in the convergence to stationarity in Dicke models.
  arXiv  Detail & Related papers  (2021-03-08T19:02:31Z)
• Stochastic collision model approach to transport phenomena in quantum networks [0.0]
  Noise-assisted transport phenomena highlight the interplay between environmental effects and quantum coherence in achieving maximal efficiency. We introduce a new approach that combines an effective quantum microscopic description with a classical microscopic one. Our approach shows how to meaningfully formulate questions, and provide answers, on important open issues such as the properties of optimal noise and the emergence of the network structure as a result of an evolutionary process.
  arXiv  Detail & Related papers  (2020-10-12T11:43:43Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)

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.