Related papers: Quantum adiabatic cycles and their breakdown

Quantum adiabatic cycles and their breakdown

URL: http://arxiv.org/abs/2011.14846v2
Date: Tue, 10 Aug 2021 12:54:51 GMT
Title: Quantum adiabatic cycles and their breakdown
Authors: Nicol\`o Defenu
Abstract summary: An analytically solvable model for quasi-static transformations across quantum critical points is presented. The model proves that adiabaticity breakdown is a general feature of universal slow dynamics in these systems.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: An analytically solvable model for quasi-static transformations across quantum critical points featuring Bosonic quasi-particle excitations is presented. The model proves that adiabaticity breakdown is a general feature of universal slow dynamics in these systems. The existence of an "anti-adiabatic" dynamical phase with vanishing ground state fidelity in the slow drive limit is also proven. The relation of these findings with the Kibble-Zurek mechanism and their consequences on defect formation in many body systems ramped across a quantum phase transition are discussed.

Related papers

Kibble-Zurek mechanism and errors of gapped quantum phases [0.25602836891933073]
Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. We present a novel numerical scheme to estimate the scaling exponent wherein the notion of defects is mapped to errors.
arXiv Detail & Related papers (2024-01-24T17:57:27Z)
Dynamics of quantum discommensurations in the Frenkel-Kontorova chain [30.733286944793527]
We study how imperfections present in concrete implementations of the Frenkel-Kontorova model affect the properties of topological defects. We analyze the propagation and scattering of solitons, examining the role of quantum fluctuations and imperfections in influencing these processes.
arXiv Detail & Related papers (2024-01-23T10:12:45Z)
Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz [17.26854451734512]
Dissipative quantum phase transitions in the sub-Ohmic spin-boson model are numerically studied. quantum-to-classical correspondence is fully confirmed over the entire sub-Ohmic range. Mean-field and non-mean-field critical behaviors are found in the deep and shallow sub-Ohmic regimes.
arXiv Detail & Related papers (2023-09-02T02:23:54Z)
Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z)
Injection and nucleation of topological defects in the quench dynamics of the Frenkel-Kontorova model [30.733286944793527]
Topological defects have strong impact on both elastic and inelastic properties of materials. We investigate the possibility to controllably inject topological defects in quantum simulators of solid state lattice structures.
arXiv Detail & Related papers (2022-10-26T17:59:57Z)
Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z)
Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition [0.0]
quenches through the critical region of quantum phase transitions result in post-transition states populated with topological defects. We identify coherent quantum oscillations induced by such superpositions in observables complementary to the one involved in symmetry breaking. In addition to the obvious fundamental significance of a superposition of different broken symmetry states, quantum coherent oscillations can be used to verify unitarity and test for imperfections of the experimental implementations of quantum simulators.
arXiv Detail & Related papers (2022-01-29T09:44:01Z)
Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z)
Adiabatic Dynamics and Shortcuts to Adiabaticity: Fundamentals and Applications [0.0]
This thesis is presented a set of results in adiabatic dynamics (closed and open system) and transitionless quantum driving. A number of theoretical applications are studied, where some theoretical prediction presented in this thesis are experimentally verified.
arXiv Detail & Related papers (2021-07-25T13:16:17Z)
Nonequilibrium phase transition in a driven-dissipative quantum antiferromagnet [0.0]
This paper provides a numerical study of dynamical phases and the transitions between them in the nonequilibrium steady state of the prototypical two-dimensional Heisenberg antiferromagnet with drive and dissipation. A finite-size analysis reveals static and dynamical critical scaling at the transition, with a discontinuous slope of the magnon number versus driving field strength and critical slowing down at the transition point.
arXiv Detail & Related papers (2021-07-08T13:35:00Z)

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