Related papers: Quantum Supercritical Crossovers with Dynamical Singularity

Quantum Supercritical Crossovers with Dynamical Singularity

URL: http://arxiv.org/abs/2407.05455v2
Date: Tue, 19 Nov 2024 17:54:37 GMT
Title: Quantum Supercritical Crossovers with Dynamical Singularity
Authors: Junsen Wang, Enze Lv, Xinyang Li, Yuliang Jin, Wei Li,
Abstract summary: We study the quantum Ising model and Rydberg atom array through tensor network calculations and scaling analyses. Enclosed by the two crossover lines, there exist supercritical quantum states with universal behaviors in correlations and entanglement. We propose that the Rydberg atom array offers an ideal platform for studying the quantum supercritical crossovers and measuring the critical exponents.
Score: 2.9659182523095047
License:
Abstract: Supercriticality, characterized by strong fluctuations and a wealth of phenomena, emerges as an intriguing state beyond the classical liquid-gas critical point. In this study, we extend this notable concept to quantum many-body systems near the quantum critical point, by studying the quantum Ising model and Rydberg atom array through tensor network calculations and scaling analyses. We find two supercritical crossover lines in the quantum phase diagram with universal scaling, $h \propto (g - g_c)^{\beta + \gamma}$, where $g$ ($h$) is the transverse (longitudinal) field, $g_c$ is the critical field, and $\beta, \gamma$ are the related critical exponents. Enclosed by the two crossover lines, there exist supercritical quantum states with universal behaviors in correlations and entanglement. In particular, we reveal a dynamical quantum phase transition occurring when traversing the quantum supercritical crossover line. These dynamical singularities, attributed to the intersection of Lee-Yang-Fisher zero lines with the real-time axis, have no counterpart in classical supercriticality. We propose that the Rydberg atom array offers an ideal platform for studying the quantum supercritical crossovers and measuring the critical exponents. The present work establishes a foundation for exploring quantum supercriticality and related phenomena in correlated many-body systems.

Related papers

Collective quantum enhancement in critical quantum sensing [37.69303106863453]
We show that collective quantum advantage can be achieved with a multipartite critical quantum sensor based on a parametrically coupled Kerr resonators chain. We derive analytical solutions for the low-energy spectrum of this unconventional quantum many-body system. We evaluate the scaling of the quantum Fisher information with respect to fundamental resources, and find that the critical chain achieves a quadratic enhancement in the number of resonators.
arXiv Detail & Related papers (2024-07-25T14:08:39Z)
Quantum coarsening and collective dynamics on a programmable quantum simulator [27.84599956781646]
We experimentally study collective dynamics across a (2+1)D Ising quantum phase transition. By deterministically preparing and following the evolution of ordered domains, we show that the coarsening is driven by the curvature of domain boundaries. We quantitatively explore these phenomena and further observe long-lived oscillations of the order parameter, corresponding to an amplitude (Higgs) mode.
arXiv Detail & Related papers (2024-07-03T16:29:12Z)
Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z)
Probing critical phenomena in open quantum systems using atom arrays [3.365378662696971]
At quantum critical points, correlations decay as a power law, with exponents determined by a set of universal scaling dimensions. Here, we employ a Rydberg quantum simulator to adiabatically prepare critical ground states of both a one-dimensional ring and a two-dimensional square lattice. By accounting for and tuning the openness of our quantum system, we are able to directly observe power-law correlations and extract the corresponding scaling dimensions.
arXiv Detail & Related papers (2024-02-23T15:21:38Z)
Quantum tricriticality and universal scaling in a tricritical quantum Rabi system [7.007530316236136]
We study a tricritical quantum Rabi model, which incorporates a nontrivial parameter for adjusting the coupling ratio between a cavity and a three-level atom. We find that the phase transition at the tricritical point goes beyond the conventional second-order phase transition. Our work explores an interesting direction in the generalization of the well-known Rabi model for the study of higher-order critical points due to its high control and tunability.
arXiv Detail & Related papers (2024-02-20T08:52:45Z)
Critical quantum geometric tensors of parametrically-driven nonlinear resonators [5.743814444071535]
Parametrically driven nonlinear resonators represent building block for realizing fault-tolerant quantum computation. Critical phenomena can occur without interaction with any other quantum system. This work reveals that the quantum metric and Berry curvature display diverging behaviors across the quantum phase transition.
arXiv Detail & Related papers (2023-12-22T03:31:58Z)
Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
arXiv Detail & Related papers (2023-05-10T12:59:07Z)
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)
Finite-depth scaling of infinite quantum circuits for quantum critical points [0.5156484100374058]
We use finite-depth quantum circuits suitable for NISQ devices as a variational ansatz to represent ground states of critical, infinite systems. We find universal finite-depth scaling relations for these circuits and verify them numerically at two different critical points, i.e., the critical Ising model with an additional symmetry-preserving term and the critical XXZ model.
arXiv Detail & Related papers (2022-03-22T18:13:42Z)
Quantum Multicritical Behavior for Coupled Optical Cavities with Driven Laser Fields [3.811778212199368]
We propose a system that a quantized light field interacts with a two-level atomic ensemble coupled by microwave fields in optical cavities. We find that the quantum critical points can evolve into a Lifshitz point if the Rabi frequency of the light field is periodically in time. Remarkably, the texture of atomic pseudo-spins can be used to characterize the quantum critical behaviors of the system.
arXiv Detail & Related papers (2022-02-09T10:57:53Z)
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)

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