Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
arXiv:2401.17066 · doi:10.21468/SciPostPhysCore.7.3.060
Abstract
We study a random unitary circuit model of an impurity moving through a chaotic medium. The exchange of information between the medium and impurity is controlled by varying the velocity of the impurity, , relative to the speed of information propagation within the medium, . Above supersonic velocities, , information cannot flow back to the impurity after it has moved into the medium, and the resulting dynamics are Markovian. Below supersonic velocities, , the dynamics of the impurity and medium are non-Markovian, and information is able to flow back onto the impurity. We show the two regimes are separated by a continuous phase transition with exponents directly related to the diffusive spreading of operators in the medium. This is demonstrated by monitoring an out-of-time-order correlator (OTOC) in a scenario where the impurity is substituted at an intermediate time. During the Markovian phase, information from the medium cannot transfer onto the replaced impurity, manifesting in no significant operator development. Conversely, in the non-Markovian phase, we observe that operators acquire support on the newly introduced impurity. We also characterize the dynamics using the coherent information and provide two decoders which can efficiently probe the transition between Markovian and non-Markovian information flow. Our work demonstrates that Markovian and non-Markovian dynamics can be separated by a phase transition, and we propose an efficient protocol for observing this transition.
19+4 pages, 11+5 figures
References in corpus (44)
- Black holes as mirrors: quantum information in random subsystems
- Random Quantum Circuits
- Operational Markov condition for quantum processes
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Postselection-free entanglement dynamics via spacetime duality
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Quantum stochastic processes and quantum non-Markovian phenomena
- SYK meets non-Hermiticity II: measurement-induced phase transition
- Operator growth and Krylov construction in dissipative open quantum systems
- Thermal diffusivity and chaos in metals without quasiparticles
- Spacetime duality between localization transitions and measurement-induced transitions
- Operator growth in open quantum systems: lessons from the dissipative SYK
- Measurement-induced phase transitions in -dimensional stabilizer circuits
- Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
- On Krylov complexity in open systems: an approach via bi-Lanczos algorithm
- Information Scrambling and Chaos in Open Quantum Systems
- Efficient decoding for the Hayden-Preskill protocol
- Operator dynamics in Lindbladian SYK: a Krylov complexity perspective
- Scrambling Transition in a Radiative Random Unitary Circuit
- Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
- Entanglement phase transitions in random stabilizer tensor networks
- Localization properties in disordered quantum many-body dynamics under continuous measurement
- Using the Environment to Understand non-Markovian Open Quantum Systems
- Tensor network simulation of chains of non-Markovian open quantum systems
- Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality
- Quantum non-Markovianity: Overview and recent developments
- Finite-time teleportation phase transition in random quantum circuits
- Experimental demonstration of coherence flow in - and anti--symmetric systems
- Scrambling of Algebras in Open Quantum Systems
- Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
- Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti- symmetry
- Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
- Measurement induced transitions in non-Markovian free fermion ladders
- Operational Metric for Quantum Chaos and the Corresponding Spatiotemporal Entanglement Structure
- Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
- Filtering crosstalk from bath non-Markovianity via spacetime classical shadows
- Scaling laws of the out-of-time-order correlators at the transition to the spontaneous -symmetry breaking in a Floquet system
- Measurement-induced phase transition in teleportation and wormholes
- Signatures of quantum chaos in an out-of-time-order tensor
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- Directed percolation with incubation times
- A Solvable Model of Quantum Darwinism-Encoding Transitions
- Controlling superfluid flows using dissipative impurities
- Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics