Symmetry-resolved dynamical purification in synthetic quantum matter
- URL: http://arxiv.org/abs/2101.07814v3
- Date: Fri, 11 Feb 2022 16:55:54 GMT
- Title: Symmetry-resolved dynamical purification in synthetic quantum matter
- Authors: Vittorio Vitale, Andreas Elben, Richard Kueng, Antoine Neven, Jose
Carrasco, Barbara Kraus, Peter Zoller, Pasquale Calabrese, Benoit Vermersch,
Marcello Dalmonte
- Abstract summary: We show that symmetry-resolved information spreading is inhibited due to the competition of coherent and incoherent dynamics.
Our work shows that symmetry plays a key role as a magnifying glass to characterize many-body dynamics in open quantum systems.
- Score: 1.2189422792863447
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: When a quantum system initialized in a product state is subjected to either
coherent or incoherent dynamics, the entropy of any of its connected partitions
generically increases as a function of time, signalling the inevitable
spreading of (quantum) information throughout the system. Here, we show that,
in the presence of continuous symmetries and under ubiquitous experimental
conditions, symmetry-resolved information spreading is inhibited due to the
competition of coherent and incoherent dynamics: in given quantum number
sectors, entropy decreases as a function of time, signalling dynamical
purification. Such dynamical purification bridges between two distinct short
and intermediate time regimes, characterized by a log-volume and log-area
entropy law, respectively. It is generic to symmetric quantum evolution, and as
such occurs for different partition geometry and topology, and classes of
(local) Liouville dynamics. We then develop a protocol to measure
symmetry-resolved entropies and negativities in synthetic quantum systems based
on the random unitary toolbox, and demonstrate the generality of dynamical
purification using experimental data from trapped ion experiments [Brydges et
al., Science 364, 260 (2019)]. Our work shows that symmetry plays a key role as
a magnifying glass to characterize many-body dynamics in open quantum systems,
and, in particular, in noisy-intermediate scale quantum devices.
Related papers
- Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom.
We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
arXiv Detail & Related papers (2023-03-13T13:06:40Z) - 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) - Geometric phases along quantum trajectories [58.720142291102135]
We study the distribution function of geometric phases in monitored quantum systems.
For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle.
For the same parameters, the density matrix does not show any interference.
arXiv Detail & Related papers (2023-01-10T22:05:18Z) - Dynamical scaling symmetry and asymptotic quantum correlations for
time-dependent scalar fields [0.0]
In time-independent quantum systems, entanglement entropy possesses an inherent scaling symmetry that the energy of the system does not have.
We show that such systems have dynamical scaling symmetry that leaves the evolution of various measures of quantum correlations invariant.
arXiv Detail & Related papers (2022-05-26T13:20:46Z) - Signatures of a quantum stabilized fluctuating phase and critical
dynamics in a kinetically-constrained open many-body system with two
absorbing states [0.0]
We introduce and investigate an open many-body quantum system in which kinetically coherent and dissipative processes compete.
Our work shows how the interplay between coherent and dissipative processes as well as constraints may lead to a highly intricate non-equilibrium evolution.
arXiv Detail & Related papers (2022-04-22T07:51:38Z) - 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) - From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation.
We describe quantum decays in a 2-level system as coherent and continuous processes.
arXiv Detail & Related papers (2021-07-29T18:27:38Z) - Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
We propose a decoherent mechanism for sensing quantum chaos.
The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
arXiv Detail & Related papers (2021-04-13T17:24:08Z) - Influence functional of many-body systems: temporal entanglement and
matrix-product state representation [0.0]
Feynman-Vernon influence functional (IF) was originally introduced to describe the effect of a quantum environment on the dynamics of an open quantum system.
We apply the IF approach to describe quantum many-body dynamics in isolated spin systems.
arXiv Detail & Related papers (2021-03-25T10:41:15Z) - Measurement-induced quantum criticality under continuous monitoring [0.0]
We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement.
We find the signatures of the transitions as peak structures in the mutual information as a function of measurement strength.
We propose a possible experimental setup to test the predicted entanglement transition based on the subsystem particle-number fluctuations.
arXiv Detail & Related papers (2020-04-24T19:35:28Z) - Many-Body Dephasing in a Trapped-Ion Quantum Simulator [0.0]
How a closed interacting quantum many-body system relaxes and dephases as a function of time is a fundamental question in thermodynamic and statistical physics.
We analyse and observe the persistent temporal fluctuations after a quantum quench of a tunable long-range interacting transverse-field Ising Hamiltonian realized with a trapped-ion quantum simulator.
arXiv Detail & Related papers (2020-01-08T12:33:28Z)
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.