Lifetimes of local excitations in disordered dipolar quantum systems

Abstract

When a strongly disordered system of interacting quantum dipoles is locally excited, the excitation relaxes on some (potentially very long) timescale. We analyze this relaxation process, both for electron glasses with strong Coulomb interactions - in which particle-hole dipoles are emergent excitations - and for systems (e.g., quantum magnets or ultracold dipolar molecules) made up of microscopic dipoles. We consider both energy relaxation rates ($T_1$ times) and dephasing rates ($T_2$ times), and their dependence on frequency, temperature, and polarization. Systems in both two and three dimensions are considered, along with the dimensional crossover in quasi-two dimensional geometries. A rich set of scaling laws is found.

References in corpus (37)

• Many body localization and thermalization in quantum statistical mechanics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Realizing a lattice spin model with polar molecules
• Localization from Hilbert space shattering: from theory to physical realizations
• Local constraints can globally shatter Hilbert space: a new route to quantum information protection
• Stability and instability towards delocalization in MBL systems
• Exploring Localization in Nuclear Spin Chains
• Many-body Localization with Dipoles
• Fracton hydrodynamics
• How a small quantum bath can thermalize long localized chains
• Spectral features of a many-body localized system weakly coupled to a heat bath
• Critical thermalization of a disordered dipolar spin system in diamond
• Interferometric probes of many-body localization
• Critical Time Crystals in Dipolar Systems
• Bosonic Excitations in Random Media
• Depolarization dynamics in a strongly interacting solid-state spin ensemble
• Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
• Many body localization with long range interactions
• Many-body localization transition with power-law interactions: Statistics of eigenstates
• Non-local Adiabatic Response of a Localized System to Local Manipulations
• Coherent Spin Oscillations in a Disordered Magnet
• Instability of many-body localized systems as a phase transition in a nonstandard thermodynamic limit
• Electron Glass Dynamics
• Dynamics and Transport at the Threshold of Many-Body Localization
• Ferromagnet in a continuously tuneable random field
• Noise-induced subdiffusion in strongly localized quantum systems
• Marginal Anderson localization and many body delocalization
• Classical Diffusion of a quantum particle in a noisy environment
• General theory of many body localized systems coupled to baths
• Spectral diffusion and scaling of many-body delocalization transitions
• Regimes of heating and dynamical response in driven many-body localized systems
• Direct measurement of non-local interactions in the many-body localized phase
• Quantum spin liquids and the metal-insulator transition in doped semiconductors
• Many-body localization in spin chains with the long-range transverse interactions: scaling of critical disorder with the system size

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• Long-range interacting quantum systems
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