Non-adiabatic linear response in open quantum systems

• URL: http://arxiv.org/abs/2501.08826v2
• Date: Tue, 09 Sep 2025 09:11:58 GMT
• Title: Non-adiabatic linear response in open quantum systems
• Authors: Xiaotian Nie, Wei Zheng,
• Abstract summary: Non-adiabatic linear response theory has been developed to probe the many-body correlations in closed systems.<n>We generalize the theory to open quantum many-body systems.
• Score: 2.450401779217817
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Adiabatic theorem and non-adiabatic corrections have been widely applied in modern quantum technology. Recently, non-adiabatic linear response theory has been developed to probe the many-body correlations in closed systems. In this work, we generalize the non-adiabatic linear response theory to open quantum many-body systems. We show that, similar to the closed case, the first-order deviation from the instantaneous steady state is memoryless -- it depends only on the final parameters and not on the initial state or ramping path. When ramping the Hamiltonian, the linear response of observables is governed by the derivative of the retarded Green's function, as in closed systems. In contrast, ramping the dissipation gives rise to a different response, characterized by a high-order correlation function defined in the steady state. Our results offer a compact and physically transparent formulation of non-adiabatic response in open systems, and demonstrate that ramping dynamics can serve as a versatile tool for probing many-body correlations beyond equilibrium.

Related papers

• Random-Matrix-Induced Simplicity Bias in Over-parameterized Variational Quantum Circuits [72.0643009153473]
  We show that expressive variational ansatze enter a Haar-like universality class in which both observable expectation values and parameter gradients concentrate exponentially with system size.<n>As a consequence, the hypothesis class induced by such circuits collapses with high probability to a narrow family of near-constant functions.<n>We further show that this collapse is not unavoidable: tensor-structured VQCs, including tensor-network-based and tensor-hypernetwork parameterizations, lie outside the Haar-like universality class.
  arXiv  Detail & Related papers  (2026-01-05T08:04:33Z)
• Thermodynamic universality across dissipative quantum phase transitions [0.0]
  We study finite-time driving across second-order dissipative quantum phase transitions described by Lindblad dynamics.<n>We show that the nonadiabatic entropy production exhibits universal power-law scaling with the ramp duration in analogy to the Kibble-Zurek mechanism for closed systems.
  arXiv  Detail & Related papers  (2025-12-04T18:38:28Z)
• Quantum Regression Theory and Efficient Computation of Response Functions for Non-Markovian Open Systems [6.8865259790065005]
  We develop a memoryless, system-only formulation of two-point correlations for open quantum systems.<n>We recast the total response function into evolutions generated by time-dependent Hamiltonian and Lindblad primitives.<n>We present quantum algorithms for these primitives and obtain an estimator for two-time correlations whose cost scales poly-logarithmically.
  arXiv  Detail & Related papers  (2025-10-07T00:23:33Z)
• Bath-induced stabilization of classical non-linear response in two dimensional infrared spectroscopy [0.0]
  We introduce a simple diagrammatic description analogous to that for open quantum systems.<n>We find that the bath-induced stabilization of both linear and nonlinear classical response functions depends sensitively on the nature of spectral density.<n>This approach may prove useful in describing real experimental systems at ambient temperatures.
  arXiv  Detail & Related papers  (2025-09-11T14:00:27Z)
• Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
  This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
  arXiv  Detail & Related papers  (2025-05-13T05:32:34Z)
• Breakdown of the Quantum Distinction of Regular and Chaotic Classical Dynamics in Dissipative Systems [0.0]
  In an isolated system, quantum chaos refers to properties of the spectrum that emerge when the classical counterpart of the system is chaotic. We show that the onset of cubic level repulsion in the open quantum model is not always related with chaotic structures in the classical limit.
  arXiv  Detail & Related papers  (2024-06-11T18:00:03Z)
• Linear and Non-Linear Response of Quadratic Lindbladians [0.0]
  Quadratic Lindbladians encompass a rich class of dissipative electronic and bosonic quantum systems. We develop a Lindblad-Keldysh response formalism for open quantum systems that elucidates their steady-state response properties.
  arXiv  Detail & Related papers  (2024-02-09T18:12:15Z)
• Non-equilibrium quantum probing through linear response [41.94295877935867]
  We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment. We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
  arXiv  Detail & Related papers  (2023-06-14T13:31:23Z)
• Quantum Lyapunov exponent in dissipative systems [68.8204255655161]
  The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. We study the interplay between these two processes. The OTOC decay rate is closely related to the classical Lyapunov.
  arXiv  Detail & Related papers  (2022-11-11T17:06:45Z)
• Initial Correlations in Open Quantum Systems: Constructing Linear Dynamical Maps and Master Equations [62.997667081978825]
  We show that, for any predetermined initial correlations, one can introduce a linear dynamical map on the space of operators of the open system. We demonstrate that this construction leads to a linear, time-local quantum master equation with generalized Lindblad structure.
  arXiv  Detail & Related papers  (2022-10-24T13:43:04Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
  We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
  arXiv  Detail & Related papers  (2021-09-22T18:00:17Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)
• 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)
• Response theory for nonequilibrium steady-states of open quantum systems [0.0]
  We introduce a response theory for open quantum systems subject to a Hamiltonian perturbation. We find that the response of the system to a small perturbation is not simply related to a correlation function within the system.
  arXiv  Detail & Related papers  (2020-10-08T12:28:45Z)
• Frequency-resolved photon correlations in cavity optomechanics [58.720142291102135]
  We analyze the frequency-resolved correlations of the photons being emitted from an optomechanical system. We discuss how the time-delayed correlations can reveal information about the dynamics of the system. This enriched understanding of the system can trigger new experiments to probe nonlinear phenomena in optomechanics.
  arXiv  Detail & Related papers  (2020-09-14T06:17:36Z)
• Decay and recurrence of non-Gaussian correlations in a quantum many-body system [0.45823749779393547]
  We observe a non-Gaussian initial state evolving under non-interacting dynamics in a quantum many-body system. This non-equilibrium evolution is triggered by abruptly switching off the effective interaction between the observed collective degrees of freedom. A description of this dynamics requires a novel mechanism for the emergence of Gaussian correlations.
  arXiv  Detail & Related papers  (2020-03-03T21:49:03Z)
• Adiabatic quantum decoherence in many non-interacting subsystems induced by the coupling with a common boson bath [0.0]
  This work addresses quantum adiabatic decoherence of many-body spin systems coupled with a boson field in the framework of open quantum systems theory. We generalize the traditional spin-boson model by considering a system-environment interaction Hamiltonian that represents a partition of non-interacting subsystems.
  arXiv  Detail & Related papers  (2019-12-30T16:39:38Z)

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.