Reply to "Comment on "Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis"" by Mondaini et.al
arXiv:1712.01999 · doi:10.1103/PhysRevLett.121.038902
Abstract
This paper is a Reply paper to the Comment paper by Mondaini et.al. [arXiv:1711.06279]. We first distinguish the diagonal and the off-diagonal eigenstate thermalization hypothesis (ETH) in each sector and in the whole Hilbert space, and then clarify their properties and their roles in thermalization. We argue that our formulation of the ETH in our letter is a standard and natural one in the context of thermalization, and that our results are qualitatively new and unexpected.
2pages, no figures
References in corpus (7)
- Thermalization and its mechanism for generic isolated quantum systems
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
- Thermalization without eigenstate thermalization hypothesis after a quantum quench
- Eigenstate Thermalization and Representative States on Subsystems
- Analytic model of thermalization: Quantum emulation of classical cellular automata
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- Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
- Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
- Kinetically Constrained Quantum Dynamics in Superconducting Circuits
- Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
- Weak-ergodicity-breaking via lattice supersymmetry
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- Heating and Cooling of Quantum Gas by Eigenstate Joule Expansion
- Symmetry-prohibited thermalization after a quantum quench
- Dichotomy theorem separating complete integrability and non-integrability of isotropic spin chains
- Does the Eigenstate Thermalization Hypothesis Imply Thermalization?