Bridging the Gap Between the Transient and the Steady State of a
Nonequilibrium Quantum System
- URL: http://arxiv.org/abs/2101.00795v1
- Date: Mon, 4 Jan 2021 06:23:01 GMT
- Title: Bridging the Gap Between the Transient and the Steady State of a
Nonequilibrium Quantum System
- Authors: Herbert F. Fotso, Eric Dohner, Alexander Kemper, and James K.
Freericks
- Abstract summary: Many-body quantum systems in nonequilibrium remain one of the frontiers of many-body physics.
Recent work on strongly correlated electrons in DC electric fields illustrated that the system may evolve through successive quasi-thermal states.
We demonstrate an extrapolation scheme that uses the short-time transient calculation to obtain the retarded quantities.
- Score: 58.720142291102135
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Many-body quantum systems in nonequilibrium remain one of the frontiers of
many-body physics. While there has been significant advances in describing the
short-time evolution of these systems using a variety of different numerical
algorithms, it has been quite difficult to evolve a system from an equilibrium
state prior to the application of a driving field, to the long-time steady (or
periodically oscillating) state. These dynamics are complex: the retarded
quantities tend to approach their long-time limit much faster than the lesser
(or greater) quantities. Recent work on strongly correlated electrons in DC
electric fields illustrated that the system may evolve through successive
quasi-thermal states obeying an effective fluctuation-dissipation theorem in
time. We demonstrate an extrapolation scheme that uses the short-time transient
calculation to obtain the retarded quantities and to extract how the
lesser/greater quantities vary with time and then extend the numerical
solutions all the way to the steady state, with minimal additional
computational cost. Our approach focuses on extrapolating the electronic
self-energy and then employing that to determine the Green's function and
various experimentally relevant expectation values.
Related papers
- Ab-initio variational wave functions for the time-dependent
many-electron Schr\"odinger equation [0.0]
We introduce a variational approach for fermionic time-dependent wave functions, surpassing mean-field approximations by capturing many-body correlations.
The proposed methodology involves parameterizing the time-evolving quantum state, enabling the approximation of the state's evolution.
The approach is demonstrated in three distinct systems: the solvable harmonic interaction model, the dynamics of a diatomic molecule in intense laser fields, and a quenched quantum dot.
arXiv Detail & Related papers (2024-03-12T09:37:22Z) - Understanding multiple timescales in quantum dissipative dynamics:
Insights from quantum trajectories [0.0]
We show that open quantum systems with nearly degenerate energy levels exhibit long-lived metastable states in the approach to equilibrium.
This is a result of dramatic separation of timescales due to differences between Liouvillian eigenvalues.
arXiv Detail & Related papers (2024-02-07T02:06:51Z) - 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) - 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) - Exact Quantum Dynamics, Shortcuts to Adiabaticity, and Quantum Quenches
in Strongly-Correlated Many-Body Systems: The Time-Dependent Jastrow Ansatz [3.0616044531734192]
We introduce a generalization of the Jastrow ansatz for time-dependent wavefunctions.
It provides an efficient and exact description of the time-evolution of a variety of systems exhibiting strong correlations.
arXiv Detail & Related papers (2022-10-26T18:00:03Z) - Emergent pair localization in a many-body quantum spin system [0.0]
Generically, non-integrable quantum systems are expected to thermalize as they comply with the Eigenstate Thermalization Hypothesis.
In the presence of strong disorder, the dynamics can possibly slow down to a degree that systems fail to thermalize on experimentally accessible timescales.
We study an ensemble of Heisenberg spins with a tunable distribution of random coupling strengths realized by a Rydberg quantum simulator.
arXiv Detail & Related papers (2022-07-28T16:31:18Z) - Shortcuts to adiabatic population inversion via time-rescaling:
stability and thermodynamic cost [0.0]
We study the problem of speeding up the population inversion of a two-level quantum system.
The fidelity of the dynamics versus systematic errors in the control parameters are shown to be comparable with other STA schemes.
arXiv Detail & Related papers (2022-04-29T20:27:02Z) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Continuous-time dynamics and error scaling of noisy highly-entangling
quantum circuits [58.720142291102135]
We simulate a noisy quantum Fourier transform processor with up to 21 qubits.
We take into account microscopic dissipative processes rather than relying on digital error models.
We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
arXiv Detail & Related papers (2021-02-08T14:55:44Z) - Fast and differentiable simulation of driven quantum systems [58.720142291102135]
We introduce a semi-analytic method based on the Dyson expansion that allows us to time-evolve driven quantum systems much faster than standard numerical methods.
We show results of the optimization of a two-qubit gate using transmon qubits in the circuit QED architecture.
arXiv Detail & Related papers (2020-12-16T21:43:38Z)
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.