Dynamical entanglement transition in the probabilistic control of chaos

• URL: http://arxiv.org/abs/2207.12415v2
• Date: Fri, 5 Aug 2022 16:28:58 GMT
• Title: Dynamical entanglement transition in the probabilistic control of chaos
• Authors: Thomas Iadecola, Sriram Ganeshan, J. H. Pixley, Justin H. Wilson
• Abstract summary: We uncover a dynamical entanglement transition in a monitored quantum system heralded by a local order parameter. We show that such control transitions persist in open quantum systems where control is implemented with local measurements and unitary feedback. Unlike other entanglement transitions in monitored quantum circuits, this transition can also be probed by correlation functions without resolving individual quantum trajectories.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We uncover a dynamical entanglement transition in a monitored quantum system that is heralded by a local order parameter. Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and uncontrolled phases as a function of the rate at which the control is applied. We show that such control transitions persist in open quantum systems where control is implemented with local measurements and unitary feedback. Starting from a simple classical model with a known control transition, we define a quantum model that exhibits a diffusive transition between a chaotic volume-law entangled phase and a disentangled controlled phase. Unlike other entanglement transitions in monitored quantum circuits, this transition can also be probed by correlation functions without resolving individual quantum trajectories.

Related papers

• Concomitant Entanglement and Control Criticality Driven by Collective Measurements [0.0]
  We study Adaptive quantum circuits where a quantum many-body state is controlled using measurements and conditional unitary operations. We find two types of nonequilibrium quantum phase transitions: measurement-induced transitions between volume- and area-law-entangled steady states and control-induced transitions where the system falls into an absorbing state. We attribute this feature and the apparent coincidence of the control and entanglement transitions to the global nature of the control.
  arXiv  Detail & Related papers  (2024-09-10T18:00:03Z)
• Local and nonlocal stochastic control of quantum chaos: Measurement- and control-induced criticality [0.0]
  We study the universality of the phase diagram of a family of quantum models inspired by the classical Bernoulli map under topology control. The quantum models inherit a control-induced phase transition from the classical model and also manifest an intrinsic entanglement phase transition to the quantum setting.
  arXiv  Detail & Related papers  (2024-05-23T18:00:01Z)
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits [0.0]
  We study the dynamics of quantum information in many-body systems with large onsite dimension quantities. We reveal a connection between three separate models: the classically chaotic $d$-adic R'nyi map with universality control, a quantum analog of this map for qudits, and a Potts model on a random graph.
  arXiv  Detail & Related papers  (2024-04-24T18:00:00Z)
• Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry [77.34726150561087]
  Quantum systems with dynamical symmetries have conserved quantities which are preserved under coherent controls. Incoherent control can increase the maximal attainable transition probability. We show that all critical points are global maxima, global minima, saddle points and second order traps.
  arXiv  Detail & Related papers  (2023-07-14T16:12:21Z)
• Free fermions under adaptive quantum dynamics [7.307017324268605]
  We study free fermion systems under adaptive quantum dynamics consisting of unitary gates and projective measurements. We find that the corrective unitary operations can steer the system into a state characterized by charge-density-wave order.
  arXiv  Detail & Related papers  (2023-06-28T23:09:59Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Multipartite Entanglement in the Measurement-Induced Phase Transition of the Quantum Ising Chain [77.34726150561087]
  External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition. We show that this transition extends beyond bipartite correlations to multipartite entanglement.
  arXiv  Detail & Related papers  (2023-02-13T15:54:11Z)
• Spectroscopic Characterization of the Quantum Linear-Zigzag Transition in Trapped Ions [0.0]
  We realize the quantum version of the linear-zigzag structural transition for arrays of up to five ground state-cooled ions held in a linear Paul trap. We demonstrate several of the control requirements towards entangled-state interferometry near the critical point.
  arXiv  Detail & Related papers  (2022-06-01T13:43:25Z)
• Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases [55.41644538483948]
  Weak measurements in particular, through their back-action on the system, may enable various levels of coherent control. We measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. Our results open new horizons for measurement-enabled quantum control of many-body topological states.
  arXiv  Detail & Related papers  (2021-02-10T19:00:00Z)
• Universality of entanglement transitions from stroboscopic to continuous measurements [68.8204255655161]
  We show that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable. This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.
  arXiv  Detail & Related papers  (2020-05-04T21:45:59Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)

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.