Dynamics of the order-parameter statistics in the long-range Ising model
arXiv:2110.13770 · doi:10.21468/SciPostPhys.12.4.126
Abstract
We study the relaxation of the local ferromagnetic order in the transverse field quantum Ising chain with power-law decaying interactions . We prepare the system in the GHZ state and study the time evolution of the probability distribution function (PDF) of the order-parameter within a block of when quenching the transverse field. The model is known to support long-range order at finite temperature for . In this regime, quasi-localized topological magnetic defects are expected to strongly affect the equilibration of the full probability distribution. We highlight different dynamical regimes where gaussification mechanism may be slowed down by confinement and eventually breaks. We further study the PDF dynamics induced by changing the effective dimensionality of the system; we mimic this by quenching the range of the interactions. As a matter of fact, the behavior of the system crucially depends on the value of governing the unitary evolution.
arXiv comment21 pages, 9 figures Appendix A and Appendix B added, subsection 2.4 added, Appendix D updated
References in corpus (55)
- The density-matrix renormalization group in the age of matrix product states
- Entanglement in quantum critical phenomena
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Many-body localization edge in the random-field Heisenberg chain
- Observation of three-photon Greenberger-Horne-Zeilinger entanglement
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Electron Counting Statistics and Coherent States of Electric Current
- Effective quantum spin systems with ion traps
- Time-dependent variational principle for quantum lattices
- Observation of entanglement propagation in a quantum many-body system
- Unifying time evolution and optimization with matrix product states
- Non-local propagation of correlations in long-range interacting quantum systems
- Time-evolution methods for matrix-product states
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Quantum Quenches in Extended Systems
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- Matrix product operator representations
- Quantum Noise as an Entanglement Meter
- Spread of correlations in long-range interacting quantum systems
- Ultracold atoms out of equilibrium
- Bipartite Fluctuations as a Probe of Many-Body Entanglement
- Pre-thermal phases of matter protected by time-translation symmetry
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Thermalization near integrability in a dipolar quantum Newton's cradle
- Quantum quench in an atomic one-dimensional Ising chain
- Observation of a prethermal discrete time crystal
- Nearly-linear light cones in long-range interacting quantum systems
- Dynamical phase diagram of spin chains with long-range interactions
- A positive tensor network approach for simulating open quantum many-body systems
- Applying matrix product operators to model systems with long-range interactions
- Effective Spin Quantum Phases in Systems of Trapped Ions
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Probing real-space and time resolved correlation functions with many-body Ramsey interferometry
- Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
- Detecting Quantum Critical Points using Bipartite Fluctuations
- Signatures of the many-body localization transition in the dynamics of entanglement and bipartite fluctuations
- Quantum Noise Analysis of Spin Systems Realized with Cold Atoms
- Quasi-localized excitations induced by long-range interactions in translationally-invariant quantum spin chains
- Characterizing correlations with full counting statistics: classical Ising and quantum XY spin chains
- Order parameter statistics in the critical quantum Ising chain
- Full Counting Statistics in the Transverse Field Ising Chain
- Fidelity and criticality of quantum Ising chain with long-range interactions
- One-dimensional many-body entangled open quantum systems with tensor network methods
- Full counting statistics in the Haldane-Shastry chain
- How order melts after quantum quenches
- Full counting statistics of time of flight images
- Full counting statistics in the spin-1/2 Heisenberg XXZ chain
- Dynamical Phase Diagram of a Quantum Ising Chain with Long Range Interactions
- Finite-temperature critical behavior of long-range quantum Ising models
- Creating big time crystals with ultracold atoms
- Relaxation of the order-parameter statistics in the Ising quantum chain
- Multipartite-Entanglement Tomography of a Quantum Simulator
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