Anomalous Behavior of Magnetic Susceptibility Obtained by Quench Experiments in Isolated Quantum Systems
arXiv:1911.02456 · doi:10.1103/PhysRevLett.124.110609
Abstract
We examine how the magnetic susceptibility obtained by the quench experiment on isolated quantum systems is related to the isothermal and adiabatic susceptibilities defined in thermodynamics. Under the conditions similar to the eigenstate thermalization hypothesis, together with some additional natural ones, we prove that for translationally invariant systems the quench susceptibility as a function of wave vector k is discontinuous at k=0. Moreover, its values at k=0 and the k to 0 limit coincide with the adiabatic and the isothermal susceptibilities, respectively. We give numerical predictions on how these particular behaviors can be observed in experiments on the XYZ spin chain with tunable parameters, and how they deviate when the conditions are not fully satisfied.
arXiv comment7 pages, 2 figures and Supplemental Material
References in corpus (60)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Cold and Ultracold Molecules: Science, Technology, and Applications
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- A toolbox for lattice spin models with polar molecules
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Realizing a lattice spin model with polar molecules
- Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
- The approach to thermal equilibrium in quantized chaotic systems
- Fermi-Hubbard physics with atoms in an optical lattice
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Quantum dynamics of a single, mobile spin impurity
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Microscopic observation of magnon bound states and their dynamics
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- The Mott insulator transition in two dimensions
- Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
- Orbital superfluidity in the -band of a bipartite optical square lattice
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
- Superfluidity of spin-polarized 6Li
- Finite-size scaling of eigenstate thermalization
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
- Quantum many particle systems in ring-shaped optical lattices
- Far-from-equilibrium spin transport in Heisenberg quantum magnets
- Canonical Thermal Pure Quantum State
- Quantum quench in an atomic one-dimensional Ising chain
- Many-body dynamics of dipolar molecules in an optical lattice
- From Cosmology to Cold Atoms: Observation of Sakharov Oscillations in Quenched Atomic Superfluids
- Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems
- Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
- Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
- Spatially Resolved Detection of a Spin-Entanglement Wave in a Bose-Hubbard Chain
- Ultracold molecules: new probes on the variation of fundamental constants
- Fluctuation Theorem for Many-Body Pure Quantum States
- Relaxation of an isolated dipolar-interacting Rydberg quantum spin system
- Realizing unconventional quantum magnetism with symmetric top molecules
- Macroscopic and Microscopic Thermal Equilibrium
- Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
- Thermal Pure Quantum States of Many-Particle Systems
- Degenerate observables and the many Eigenstate Thermalization Hypotheses
- Weak eigenstate thermalization with large deviation bound
- From Linear to Nonlinear Responses of Thermal Pure Quantum States
- Optimization of finite-size errors in finite-temperature calculations of unordered phases
- Quantum Violation of Fluctuation-Dissipation Theorem
- Quantum magnetism with ultracold bosons carrying orbital angular momentum
Cited by in corpus (5)
- Proof of absence of local conserved quantities in the mixed-field Ising chain
- Dissipative spin dynamics in hot quantum paramagnets
- Critical spin dynamics of Heisenberg ferromagnets revisited
- Key Observable for Linear Thermalization
- Absence of nontrivial local conserved quantities in the spin-1 bilinear-biquadratic chain and its anisotropic extensions