Anomalous transport in U(1)-symmetric quantum circuits
arXiv:2411.14357 · doi:10.1038/s41534-025-01178-8
Abstract
In this work we investigate discrete-time transport in a generic U(1)-symmetric disordered model tuned across an array of different dynamical regimes. We develop an aggregate quantity, a circular statistical moment, which is a simple function of the magnetization profile and which elegantly captures transport properties of the system. From this quantity we extract transport exponents, revealing behaviors across the phase diagram consistent with localized, diffusive, and - most interestingly for a disordered system - superdiffusive regimes. Investigation of this superdiffusive regime reveals the existence of a prethermal "swappy" regime unique to discrete-time systems in which excitations propagate coherently; even in the presence of strong disorder.
Published version + reference to repo with reproducible results
References in corpus (61)
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- The many-body localization phase transition
- Many-body localization edge in the random-field Heisenberg chain
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- On the phase structure of driven quantum systems
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Optimal Hamiltonian Simulation by Quantum Signal Processing
- Simulating Hamiltonian dynamics with a truncated Taylor series
- Many-body localization: an introduction and selected topics
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Finite-temperature transport in one-dimensional quantum lattice models
- A geometric theory of non-local two-qubit operations
- Stability and instability towards delocalization in MBL systems
- A random compiler for fast Hamiltonian simulation
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
- Avalanches and many-body resonances in many-body localized systems
- Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Two universality classes for the many-body localization transition
- Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
- Many-body delocalization as a quantum avalanche
- On general relation between quantum ergodicity and fidelity of quantum dynamics
- Quantum quenches in the many-body localized phase
- Unitary circuits of finite depth and infinite width from quantum channels
- Can we study the many-body localisation transition?
- Challenges to observation of many-body localization
- Polynomially filtered exact diagonalization approach to many-body localization
- Integrable Trotterization: Local Conservation Laws and Boundary Driving
- Many-Body Localization in the Age of Classical Computing
- Ballistic spin transport in a periodically driven integrable quantum system
- An efficient quantum algorithm for the time evolution of parameterized circuits
- Stable Quantum-Correlated Many Body States through Engineered Dissipation
- Typical entanglement entropy in the presence of a center: Page curve and its variance
- Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
- Localization with random time-periodic quantum circuits
- Multifractality and its role in anomalous transport in the disordered XXZ spin-chain
- Phenomenology of the Prethermal Many-Body Localized Regime
- Quantum Cellular Automata, Tensor Networks, and Area Laws
- Apparent slow dynamics in the ergodic phase of a driven many-body localized system without extensive conserved quantities
- Stability of many-body localization in Floquet systems
- Maximal entanglement velocity implies dual unitarity
- Simulating hydrodynamics on noisy intermediate-scale quantum devices with random circuits
- Anomalous thermalization and transport in disordered interacting Floquet systems
- Many-body localization in large systems: Matrix-product-state approach
- Interaction-Driven Instabilities in the Random-Field XXZ Chain
- Diagonalization of large many-body Hamiltonians on a quantum processor
- Quantum Many-Body Scars in Dual-Unitary Circuits
- Uncovering Local Integrability in Quantum Many-Body Dynamics
- Polynomial filter diagonalization of large Floquet unitary operators
- Information-Theoretic Memory Scaling in the Many-Body Localization Transition
- Calculating the many-body density of states on a digital quantum computer
- Slow thermalization and subdiffusion in conserving Floquet random circuits
- Localization and integrability breaking in weakly interacting Floquet circuits
- Observing quantum many-body scars in random quantum circuits
- Hilbert subspace ergodicity
- Geometric constructions of generalized dual-unitary circuits from biunitarity