Related papers: Operator scars in open systems and their relation to Einstein-Podolsky-Rosen scars in closed bilayer systems

Operator scars in open systems and their relation to Einstein-Podolsky-Rosen scars in closed bilayer systems

URL: http://arxiv.org/abs/2304.03155v2
Date: Wed, 22 May 2024 11:22:09 GMT
Title: Operator scars in open systems and their relation to Einstein-Podolsky-Rosen scars in closed bilayer systems
Authors: Alexander Teretenkov, Oleg Lychkovskiy,
Abstract summary: We study open many-body systems governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation.
Score: 49.1574468325115
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We study open many-body systems governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. We identify broad classes of many-body models that support explicitly known eigen operators $Q$ of the Lindbladian superoperators (Lindbladians) $\mathcal L$. The expectation value of the observables defined by these operators exhibits a simple exponential decay, $\langle Q\rangle_t=e^{-\Gamma t} \langle Q \rangle_0$, irrespectively of the initial state. Generically, the Lindbladians under study are nonintegrable; in such cases operators $Q$ are similar to special eigenstates in closed many-body systems known as quantum many-body scars. We make this analogy precise by employing the duality between open systems and closed systems with doubled degrees of freedom. Under this duality, operator scars in open systems map to recently discovered Einstein-Podolsky-Rosen (EPR) scars in closed bilayer systems. Furthermore, we show that there is a family of such dualities which allows one to obtain EPR-like scars with a prescribed entanglement between layers. This opens a novel perspective on EPR scars in closed bilayer systems that clarifies known facts and facilitates new developments.

Related papers

Fractionalization paves the way to local projector embeddings of quantum many-body scars [0.0]
We show how to fit the Affleck-Kennedy-Lieb-Tasaki (AKLT) model or the PXP model of Rydberg-blockaded atoms. The embedding of the original system in a larger space elucidates the structure of their scar states and simplifies their construction.
arXiv Detail & Related papers (2023-05-01T13:55:41Z)
Tower of quantum scars in a partially many-body localized system [0.0]
We show how one can find disordered Hamiltonians hosting a tower of scars by adapting a known method for finding parent Hamiltonians. We demonstrate that localization stabilizes scar revivals of initial states with support both inside and outside the scar subspace.
arXiv Detail & Related papers (2023-01-04T16:10:24Z)
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)
Nature and origin of the operators entering the master equation of an open quantum system [0.0]
We derive an equation of motion for the reduced density operator of an open quantum system. We find Lindblad-like operators for two different models of a qubit in a bosonic environment.
arXiv Detail & Related papers (2022-09-28T16:33:08Z)
Gravitational orbits, double-twist mirage, and many-body scars [77.34726150561087]
We explore the implications of stable gravitational orbits around an AdS black hole for the boundary conformal field theory. The orbits are long-lived states that eventually decay due to gravitational radiation and tunneling.
arXiv Detail & Related papers (2022-04-20T19:18:05Z)
Unsupervised detection of decoupled subspaces: many-body scars and beyond [0.0]
We introduce a quantum-inspired machine learning platform based on a Quantum Variational Autoencoder (QVAE) We demonstrate that the autoencoder trained on a scar state is able to detect the whole family of scar states sharing common features with the input state. The possibility of an automatic detection of subspaces of scar states opens new pathways in studies of models with a weak breakdown of ergodicity.
arXiv Detail & Related papers (2022-01-18T17:48:33Z)
Quantum local random networks and the statistical robustness of quantum scars [68.8204255655161]
We investigate the emergence of quantum scars in a general ensemble of random Hamiltonians. We find a class of scars, that we call "statistical" We study the scaling of the number of statistical scars with system size.
arXiv Detail & Related papers (2021-07-02T07:53:09Z)
Group theoretic approach to many-body scar states in fermionic lattice models [0.0]
We show that three families of highly symmetric states are many-body scars for any spin-1/2 fermionic Hamiltonian. We write down all the generators $T$ that can be used as building blocks for designing new models with scars. A full numerical study of an extended 2D $tJU$ model explicitly illustrates the novel properties of the invariant scars.
arXiv Detail & Related papers (2021-06-18T18:06:06Z)
Exact many-body scars and their stability in constrained quantum chains [55.41644538483948]
Quantum scars are non-thermal eigenstates characterized by low entanglement entropy. We study the response of these exact quantum scars to perturbations by analysing the scaling of the fidelity susceptibility with system size.
arXiv Detail & Related papers (2020-11-16T19:05:50Z)
Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits [62.997667081978825]
We show that a controlled interaction with the environment may help to create a state, dubbed as em dark'', which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different states act as a computational basis. This approach offers new possibilities for storing, protecting and manipulating quantum information in open systems.
arXiv Detail & Related papers (2020-02-01T15:57:37Z)

This list is automatically generated from the titles and abstracts of the papers in this site.