Entanglement transitions in the quantum Ising chain: A comparison
between different unravelings of the same Lindbladian
- URL: http://arxiv.org/abs/2111.11300v4
- Date: Wed, 14 Dec 2022 14:01:53 GMT
- Title: Entanglement transitions in the quantum Ising chain: A comparison
between different unravelings of the same Lindbladian
- Authors: Giulia Piccitto and Angelo Russomanno and Davide Rossini
- Abstract summary: We study the dynamics of entanglement in the quantum Ising chain with dephasing dissipation in a Lindblad master equation form.
We consider two unravelings which preserve the Gaussian form of the state, allowing to address large system sizes.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the dynamics of entanglement in the quantum Ising chain with
dephasing dissipation in a Lindblad master equation form. We consider two
unravelings which preserve the Gaussian form of the state, allowing to address
large system sizes. The first unraveling gives rise to a
quantum-state-diffusion dynamics, while the second one describes a specific
form of quantum-jump evolution, suitably constructed to preserve Gaussianity.
In the first case we find a crossover from area-law to logarithm-law
entanglement scaling and draw the related phase diagram. In the second case we
only find logarithm-law scaling, remarking the different entanglement behavior
for different unravelings of the same Lindblad equation. Finally, we compare
these outcomes with the predictions of a non-Hermitian Hamiltonian evolution,
finding conflicting results.
Related papers
- Entanglement Transition due to particle losses in a monitored fermionic chain [0.0]
We study the dynamics of the entanglement entropy under quantum jumps that induce local particle losses in a model of free fermions hopping.
We show that by tuning the system parameters, a measurement-induced entanglement transition occurs where the entanglement entropy scaling changes from logarithmic to area-law.
arXiv Detail & Related papers (2024-08-07T11:30:09Z) - Entanglement scaling behaviors of free fermions on hyperbolic lattices [8.234490063684973]
Tight-binding models on hyperbolic lattices have led to hyperbolic band theory and non-Abelian Bloch states.
This paper focuses on the scaling of entanglement entropy (EE) that has been regarded as a powerful quantum-information probe into exotic phases of matter.
arXiv Detail & Related papers (2024-08-03T08:17:51Z) - Directing entanglement spreading by means of a quantum East/West
heterojunction structure [10.033171830313124]
We extend the translationally invariant quantum East model to an inhomogeneous chain with East/West heterojunction structure.
We observe a cyclic entanglement entropy spreading in the heterojunction during time evolution, which can be regarded as continuous cycles in a quantum heat engine.
arXiv Detail & Related papers (2023-12-03T01:48:35Z) - From Lindblad master equations to Langevin dynamics and back [0.0]
A case study of the non-equilibrium dynamics of open quantum systems is presented.
The quantum Langevin equations are derived from an identical set of physical criteria.
The associated Lindblad equations are derived but only one of them is completely positive.
arXiv Detail & Related papers (2023-05-10T16:59:48Z) - Hilbert Space Fragmentation in Open Quantum Systems [0.7412445894287709]
We investigate the phenomenon of Hilbert space fragmentation (HSF) in open quantum systems.
We find that it can stabilize highly entangled steady states.
arXiv Detail & Related papers (2023-05-05T18:00:06Z) - Entanglement structure in the volume-law phase of hybrid quantum
automaton circuits [6.723539428281127]
We numerically observe that the entanglement entropy exhibits strong fluctuation with the exponent close to the growth exponent'' of the Kardar-Parisi-Zhang class.
We also investigate the dynamically generated quantum error correction code in the purification process.
arXiv Detail & Related papers (2022-07-05T16:41:51Z) - Quantum-jump vs stochastic Schr\"{o}dinger dynamics for Gaussian states
with quadratic Hamiltonians and linear Lindbladians [0.0]
We consider quantum-jump and Schr"odinger dynamics for initially Gaussian states.
While both unravellings converge to the same Lindblad dynamics when averaged, the individual dynamics can differ qualitatively.
arXiv Detail & Related papers (2022-03-22T08:13:10Z) - Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit.
This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
arXiv Detail & Related papers (2021-12-08T11:41:38Z) - Entropy decay for Davies semigroups of a one dimensional quantum lattice [13.349045680843885]
We show that the relative entropy between any evolved state and the equilibrium Gibbs state contracts exponentially fast with an exponent that scales logarithmically with the length of the chain.
This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems.
arXiv Detail & Related papers (2021-12-01T16:15:58Z) - Rapid thermalization of spin chain commuting Hamiltonians [13.349045680843885]
We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians.
This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems.
arXiv Detail & Related papers (2021-12-01T16:08:10Z) - Linear growth of the entanglement entropy for quadratic Hamiltonians and
arbitrary initial states [11.04121146441257]
We prove that the entanglement entropy of any pure initial state of a bosonic quantum system grows linearly in time.
We discuss several applications of our results to physical systems with (weakly) interacting Hamiltonians and periodically driven quantum systems.
arXiv Detail & Related papers (2021-07-23T07:55:38Z)
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.