Entanglement in the Quantum Spherical Model -- a Review
- URL: http://arxiv.org/abs/2302.05732v1
- Date: Sat, 11 Feb 2023 15:56:05 GMT
- Title: Entanglement in the Quantum Spherical Model -- a Review
- Authors: Sascha Wald, Raul Arias, Vincenzo Alba
- Abstract summary: We review some recent results on entanglement in the Quantum Spherical Model (QSM)
The focus lays on the physical results rather than the mathematical details.
The study of entanglement properties of the QSM is feasible because the model is mappable to a Gaussian system in any dimension.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We review some recent results on entanglement in the Quantum Spherical Model
(QSM). The focus lays on the physical results rather than the mathematical
details. Specifically, we study several entanglement-related quantities, such
asentanglement entropies, and logarithmic negativity, in the presence of
quantum and classical critical points, and in magnetically ordered phases. We
consider both the short as well as the long-range QSM. The study of
entanglement properties of the QSM is feasible because the model is mappable to
a Gaussian system in any dimension. Despite this fact the QSM is an ideal
theoretical laboratory to investigate a wide variety of physical scenarios,
such as non mean field criticality, the effect of long-range interactions, the
interplay between finite-temperature fluctuations and genuine quantum ones.
Related papers
- Entanglement with neutral atoms in the simulation of nonequilibrium dynamics of one-dimensional spin models [0.0]
We study the generation and role of entanglement in the dynamics of spin-1/2 models.
We introduce the neutral atom Molmer-Sorensen gate, involving rapid adiabatic Rydberg dressing interleaved in a spin-echo sequence.
In quantum simulation, we consider critical behavior in quench dynamics of transverse field Ising models.
arXiv Detail & Related papers (2024-06-07T23:29:16Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - 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) - A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
Mixed Weyl symbol is used to describe brain processes at the microscopic level.
Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically.
Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
arXiv Detail & Related papers (2023-01-17T15:16:21Z) - Quantum Simulation of Chiral Phase Transitions [62.997667081978825]
We construct a quantum simulation for the $(+1)$ dimensional NJL model at finite temperature and finite chemical potential.
We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.
arXiv Detail & Related papers (2021-12-07T19:04:20Z) - Exponential clustering of bipartite quantum entanglement at arbitrary
temperatures [0.0]
We show that bi-partite long-range entanglement is unstable at arbitrary temperatures and exponentially decays with distance.
Our work reveals novel general aspects of low-temperature quantum physics and sheds light on the characterization of long-range entanglement.
arXiv Detail & Related papers (2021-08-27T10:12:47Z) - Spin Entanglement and Magnetic Competition via Long-range Interactions
in Spinor Quantum Optical Lattices [62.997667081978825]
We study the effects of cavity mediated long range magnetic interactions and optical lattices in ultracold matter.
We find that global interactions modify the underlying magnetic character of the system while introducing competition scenarios.
These allow new alternatives toward the design of robust mechanisms for quantum information purposes.
arXiv Detail & Related papers (2020-11-16T08:03:44Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - Variational Quantum Eigensolver for Frustrated Quantum Systems [0.0]
A variational quantum eigensolver, or VQE, is designed to determine a global minimum in an energy landscape specified by a quantum Hamiltonian.
Here we consider the performance of the VQE technique for a Hubbard-like model describing a one-dimensional chain of fermions.
We also study the barren plateau phenomenon for the Hamiltonian in question and find that the severity of this effect depends on the encoding of fermions to qubits.
arXiv Detail & Related papers (2020-05-01T18:00:01Z) - Quantum Jamming: Critical Properties of a Quantum Mechanical Perceptron [0.0]
We find that the jamming transition with quantum dynamics shows critical exponents different from the classical case.
Our findings have implications for the theory of glasses at ultra-low temperatures and for the study of quantum machine-learning algorithms.
arXiv Detail & Related papers (2020-03-02T18:05:14Z)
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.