Quantifying spatio-temporal patterns in classical and quantum systems out of equilibrium

Abstract

A rich variety of non-equilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in many-body systems of completely different nature. In this work we provide a solution to this problem by adopting a structural complexity measure to quantify spatio-temporal patterns in the time-dependent digital representation of a system. On the basis of very limited amount of data our approach allows to distinguish different dynamical regimes and define critical parameters in both classical and quantum systems. By the example of the discrete time crystal realized in non-equilibrium quantum systems we provide a complete low-level characterization of this nontrivial dynamical phase with only processing bitstrings, which can be considered as a valuable alternative to previous studies based on the calculations of qubit correlation functions.

Monitoring a quantum evolution has been added

References in corpus (10)

• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Thirty milliseconds in the life of a supercooled liquid
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits
• Emergent glassy behavior in a kagome Rydberg atom array
• Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2up to the saturation magnetic field
• Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
• Hypersensitivity and chaos signatures in the quantum baker's maps
• Analysis of the phase transition in the $2D$ Ising ferromagnet using a Lempel-Ziv string parsing scheme and black-box data-compression utilities
• Clustering free-falling paper motion with complexity and entropy
• Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems

Cited by in corpus (3)

• Achieving the volume-law entropy regime with random-sign Dicke states
• Exploring entanglement in finite-size quantum systems with degenerate ground state
• Structural complexity of snapshots of 2D Fermi-Hubbard systems