Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
- URL: http://arxiv.org/abs/2407.07746v2
- Date: Tue, 27 May 2025 10:20:44 GMT
- Title: Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
- Authors: Pablo Martinez-Azcona, Aritra Kundu, Avadh Saxena, Adolfo del Campo, Aurelia Chenu,
- Abstract summary: We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to perturbations in its anti-Hermitian part.<n>We characterize the resulting state evolution and analyze its purity.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The dynamics averaged over the noise is described by an `anti-dephasing' master equation. We characterize the resulting state evolution and analyze its purity. The properties of such dynamics are illustrated in a stochastic dissipative qubit. Our analytical results show that adding noise allows for a rich control of the dynamics, stabilizing the lossy state and making state purification possible to a greater variety of steady states.
Related papers
- Dynamical generation of geometric squeezing in interacting Bose-Einstein condensates [21.448766267828294]
We study the geometrically squeezed state of Bose-Einstein condensates (BECs)<n>For interacting BECs with two-body collisions, a similar quench only results in quantum fluctuations oscillating periodically without squeezing.<n>By strategically breaking the stability criteria, we propose a dynamical approach for generating squeezing that can exponentially suppress quantum fluctuations in a relatively short time.
arXiv Detail & Related papers (2025-08-06T06:50:03Z) - Dephasing-assisted diffusive dynamics in superconducting quantum circuits [14.808613294313902]
We first demonstrate the diffusive dynamics assisted by controlled dephasing noise in superconducting quantum circuits.
We show that dephasing can enhance localization in a superconducting qubit array with quasiperiodic order.
By preparing different excitation distributions in the qubit array, we observe that a more localized initial state relaxes to a uniformly distributed mixed state faster with dephasing noise.
arXiv Detail & Related papers (2024-11-23T14:14:36Z) - Emergent Fracton Hydrodynamics in the Fractional Quantum Hall Regime of Ultracold Atoms [41.94295877935867]
We show that in the lowest Landau level the system generically relaxes subdiffusively.
The slow relaxation is understood from emergent conservation laws of the total charge.
We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics.
arXiv Detail & Related papers (2024-10-09T18:00:02Z) - Quantum Simulation of Nonlinear Dynamical Systems Using Repeated Measurement [42.896772730859645]
We present a quantum algorithm based on repeated measurement to solve initial-value problems for nonlinear ordinary differential equations.
We apply this approach to the classic logistic and Lorenz systems in both integrable and chaotic regimes.
arXiv Detail & Related papers (2024-10-04T18:06:12Z) - Effect of noise on quantum circuit realization of non-Hermitian time crystals [0.0]
We consider non-Hermitian dynamics on a noisy quantum computer.
We show that infinitely long-lived oscillations are generically lost for arbitrarily weak values of common types of noise.
Experiments on a real device (ibmq-lima) do not show remnants of these oscillations.
arXiv Detail & Related papers (2024-09-09T23:41:18Z) - 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) - 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) - 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) - Dynamics with autoregressive neural quantum states: application to
critical quench dynamics [41.94295877935867]
We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion.
We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
arXiv Detail & Related papers (2022-09-07T15:50:00Z) - Experimental quantum simulation of non-Hermitian dynamical topological
states using stochastic Schr\"odinger equation [8.374675687855248]
Noise is ubiquitous in real quantum systems, leading to non-Hermitian quantum dynamics.
We show a feasible quantum simulation approach for dissipative quantum dynamics with Schr"odinger equation.
arXiv Detail & Related papers (2022-06-30T08:48:25Z) - Signatures of a quantum stabilized fluctuating phase and critical
dynamics in a kinetically-constrained open many-body system with two
absorbing states [0.0]
We introduce and investigate an open many-body quantum system in which kinetically coherent and dissipative processes compete.
Our work shows how the interplay between coherent and dissipative processes as well as constraints may lead to a highly intricate non-equilibrium evolution.
arXiv Detail & Related papers (2022-04-22T07:51:38Z) - 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) - Revisiting the Characteristics of Stochastic Gradient Noise and Dynamics [25.95229631113089]
We show that the gradient noise possesses finite variance, and therefore the Central Limit Theorem (CLT) applies.
We then demonstrate the existence of the steady-state distribution of gradient descent and approximate the distribution at a small learning rate.
arXiv Detail & Related papers (2021-09-20T20:39:14Z) - Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a
trapping potential [0.0]
We investigate nonergodic behavior of the one-dimensional Bose-Hubbard model.
We compute the level spacing statistic, the time evolution of the number imbalance between the odd and the even sites, and the entanglement entropy.
arXiv Detail & Related papers (2021-08-03T01:37:42Z) - Engineered dissipation induced entanglement transition in quantum spin
chains: from logarithmic growth to area law [0.0]
Recent theoretical work has shown that the competition between coherent unitary dynamics and measurements can give rise to transitions in the entanglement scaling.
We consider an engineered dissipation, which stabilizes an entangled phase of a quantum spin$-1/2$ chain.
We find that the system undergoes an entanglement transition from a logarithmic growth to an area law when the competition ratio between the unitary evolution and the non-unitary dynamics increases.
arXiv Detail & Related papers (2021-06-18T12:41:01Z) - Stability of dynamical topology against dynamical noise in quantum
quenches [6.496235214212858]
We show that for weak noise, the quantum dynamics induced by quenching an initial trivial phase to Chern insulating regime exhibits robust emergent topology on certain momentum subspaces.
We predict a sweet spot in the critical transition when noise couples to all three spin components in the same strength, in which case the dynamical topology survives at arbitrarily strong noise regime.
arXiv Detail & Related papers (2020-05-05T17:31:30Z)
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.