Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches
in Two-dimensional Conformal Field Theories
- URL: http://arxiv.org/abs/2302.08009v1
- Date: Thu, 16 Feb 2023 00:47:50 GMT
- Title: Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches
in Two-dimensional Conformal Field Theories
- Authors: Kanato Goto, Masahiro Nozaki, Shinsei Ryu, Kotaro Tamaoka, and Mao
Tian Tan
- Abstract summary: We study quantum quench processes induced by the M"obius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories.
These quantum quenches allow us to study scrambling and recovery of quantum information.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study various quantum quench processes induced by the M\"obius/sine-square
deformation of the Hamiltonian in two-dimensional conformal field theories
starting from the thermofield double state in the two copies of the Hilbert
space. These quantum quenches, some of which are directly related to the
operator entanglement of the time-evolution operators, allow us to study
scrambling and recovery of quantum information. In particular, under the SSD
time-evolution, we show from the time-dependence of mutual information that the
Bell pairs, initially shared by the subsystems of the two Hilbert spaces, may
revive even after the mutual information for small subsystems is completely
destroyed by quantum information scrambling dynamics. This mutual information
is robust against the strong scrambling dynamics. As a consequence, the steady
state has a non-local correlation shared not by any of two parties but by three
parties. In the holographic dual description, a wormhole connecting the two
Hilbert spaces may non-linearly grow with time during the quantum quenches. We
also propose effective pictures that describe the dynamics of mutual
information during the time-evolution by inhomogeneous Hamiltonians.
Related papers
- Quantum operations with the time axis in a superposed direction [0.0]
We introduce an expanded concept of matrix transposition, that takes into account general bipartite unitary transformations of a quantum operation's future and past Hilbert spaces.
This framework may have applications in approaches that treat time and space equally like quantum gravity.
arXiv Detail & Related papers (2023-06-05T10:20:59Z) - The connection between Hilbert-space return probability and real-space
autocorrelations in quantum spin chains [0.0]
We show that the temporal decay of the autocorrelation in a disordered quantum spin chain is explicitly encoded in how the return probability on Hilbert space approaches its late-time saturation.
Our treatment is rooted in an understanding of the morphology of the time-evolving state on the Hilbert-space graph, and corroborated by exact numerical results.
arXiv Detail & Related papers (2023-05-10T18:00:02Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Entanglement Negativity and Mutual Information after a Quantum Quench:
Exact Link from Space-Time Duality [0.0]
We study the growth of entanglement between two adjacent regions in a tripartite, one-dimensional many-body system after a quantum quench.
We derive an exact, universal relation between the entanglement negativity and Renyi-1/2 mutual information which holds at times shorter than the sizes of all subsystems.
arXiv Detail & Related papers (2022-03-31T17:55:46Z) - Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity.
For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles.
In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
arXiv Detail & Related papers (2021-12-22T15:27:30Z) - Real-space entanglement in the Cosmic Microwave Background [0.0]
We compute the entanglement entropy, mutual information and quantum discord of the Cosmic Microwave Background fluctuations in real space.
In particular, both the mutual information and quantum discord, which decay as the fourth power of the distance between the two measurements in flat space time, asymptotes a constant in cosmological backgrounds.
arXiv Detail & Related papers (2021-06-29T05:31:56Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z) - Dynamics of quantum discord of two coupled spin-1/2 subjected to
time-dependent magnetic fields [0.0]
We describe the dynamics of quantum discord of two interacting spin-1/2 subjected to controllable time-dependent magnetic fields.
The interplay of the action of the time-dependent magnetic fields and the spin-coupling mechanism in the occurrence and evolution of quantum correlations is examined in detail.
arXiv Detail & Related papers (2021-01-19T15:53:13Z) - Quantum chaos driven by long-range waveguide-mediated interactions [125.99533416395765]
We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide.
Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real space.
arXiv Detail & Related papers (2020-11-24T07:06:36Z) - Continuous and time-discrete non-Markovian system-reservoir
interactions: Dissipative coherent quantum feedback in Liouville space [62.997667081978825]
We investigate a quantum system simultaneously exposed to two structured reservoirs.
We employ a numerically exact quasi-2D tensor network combining both diagonal and off-diagonal system-reservoir interactions with a twofold memory for continuous and discrete retardation effects.
As a possible example, we study the non-Markovian interplay between discrete photonic feedback and structured acoustic phononovian modes, resulting in emerging inter-reservoir correlations and long-living population trapping within an initially-excited two-level system.
arXiv Detail & Related papers (2020-11-10T12:38:35Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z)
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.