Polaron Transformed Canonically Consistent Quantum Master Equation
- URL: http://arxiv.org/abs/2604.02731v1
- Date: Fri, 03 Apr 2026 04:49:43 GMT
- Title: Polaron Transformed Canonically Consistent Quantum Master Equation
- Abstract summary: We develop a polaron-transformed version of the canonically consistent quantum master equation (CCQME)<n>The CCQME extends beyond standard weak-coupling approaches while retaining the same numerical complexity as conventional quantum master equations.<n>We predict an initial-state-independent slowing down of thermalization in the strong-coupling regime of the spin-boson model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A central challenge in the theory of open quantum systems is the development of theoretical frameworks capable of accurately describing large, strongly interacting quantum many-body systems in the regime of strong system-bath interaction. In this work, we take a step toward this goal by formulating a polaron-transformed version of the canonically consistent quantum master equation (CCQME) [T. Becker et al., Phys. Rev. Lett. 129, 200403 (2022)]. The CCQME extends beyond standard weak-coupling approaches while retaining the same numerical complexity as conventional quantum master equations, thereby enabling the treatment of large quantum systems. The polaron transformation further enhances the accessible system-bath interaction strengths, allowing us to move from moderate to strong interaction regimes. We present a unified and transparent derivation of these two approaches and combine them to obtain the polaron-transformed CCQME (PT-CCQME). Applying our method to the paradigmatic spin-boson model, we find excellent agreement with numerically exact time-evolving matrix product operator (TEMPO) simulations. Finally, we predict an initial-state-independent slowing down of thermalization in the strong-coupling regime of the spin-boson model.
Related papers
- Beyond the Quantum Regression Theorem in Variational Polaron Master Equations with Low-Dimensional Baths [0.0]
The quantum regression theorem (QRT) is the standard tool for computing multi-time correlation functions in open quantum systems.<n>We derive an extension to the QRT that explicitly incorporates correlation-induced corrections.<n>Our approach broadens the reach of analytic master equations to strong-coupling regimes.
arXiv Detail & Related papers (2026-04-15T06:44:37Z) - Towards Quantum Enhanced Adversarial Robustness with Rydberg Reservoir Learning [45.92935470813908]
Quantum computing reservoir (QRC) leverages the high-dimensional, nonlinear dynamics inherent in quantum many-body systems.<n>Recent studies indicate that perturbation quantums based on variational circuits remain susceptible to adversarials.<n>We investigate the first systematic evaluation of adversarial robustness in a QR based learning model.
arXiv Detail & Related papers (2025-10-15T12:17:23Z) - Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA [39.27725073249277]
We analyze the implementation of single-qubit gates in a two-level system driven by a microwave field.<n>We show how the dynamical phase can be canceled to obtain purely geometric operations.<n>We extend the protocol to construct non two-qubit gates, highlighting its feasibility for scalable quantum information processing.
arXiv Detail & Related papers (2025-09-10T16:14:34Z) - Path integral approach to quantum thermalization [39.25860941747971]
We introduce a quasiclassical Green function approach describing the unitary yet irreversible dynamics of quantum systems.<n>We show that it is capable of describing a wide range of system classes and disorder models.<n>We present our formalism in a self-contained and pedagogical manner, aiming to provide a transferable toolbox for the first-principles description of many-body chaotic quantum systems.
arXiv Detail & Related papers (2025-09-07T12:10:48Z) - Repeated Interaction Scheme for the Quantum Simulation of Non-Markovian Electron Transfer Dynamics [0.0]
Quantum algorithms have the potential to revolutionize our understanding of open quantum systems in chemistry.<n>In this work, we demonstrate that a repeated interaction model can effectively reproduce non-Markovian electron transfer dynamics.<n>When fault-tolerant quantum hardware becomes available, algorithms based on this model could be extended to incorporate structured baths, additional energy levels, or more intricate coupling schemes.
arXiv Detail & Related papers (2025-02-25T18:21:03Z) - Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Dynamical invariant based shortcut to equilibration in open quantum systems [0.0]
We propose using the Lewis-Riesenfeld invariant to speed-up the equilibration of a driven open quantum system.<n>We show that our protocol can achieve a high-fidelity control in shorter timescales than simple non-optimized protocols.
arXiv Detail & Related papers (2024-01-22T02:32:27Z) - A self-consistent field approach for the variational quantum
eigensolver: orbital optimization goes adaptive [52.77024349608834]
We present a self consistent field approach (SCF) within the Adaptive Derivative-Assembled Problem-Assembled Ansatz Variational Eigensolver (ADAPTVQE)
This framework is used for efficient quantum simulations of chemical systems on nearterm quantum computers.
arXiv Detail & Related papers (2022-12-21T23:15:17Z) - Quantum and classical correlations in open quantum-spin lattices via
truncated-cumulant trajectories [0.0]
We show a new method to treat open quantum-spin lattices, based on the solution of the open-system dynamics.
We validate this approach in the paradigmatic case of the phase transitions of the dissipative 2D XYZ lattice, subject to spontaneous decay.
arXiv Detail & Related papers (2022-09-27T13:23:38Z) - Finite-size criticality in fully connected spin models on
superconducting quantum hardware [0.0]
We exploit the new resources offered by quantum algorithms to detect the quantum critical behaviour of fully connected spin$-1/2$ models.
We propose a method based on variational algorithms run on superconducting transmon qubits.
arXiv Detail & Related papers (2022-08-04T16:00:34Z) - 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) - Waveguide quantum optomechanics: parity-time phase transitions in
ultrastrong coupling regime [125.99533416395765]
We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction.
The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry.
The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
arXiv Detail & Related papers (2020-07-04T11:02:20Z)
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.