Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems
arXiv:1311.0169 · doi:10.1103/PhysRevLett.112.130403
Abstract
In the ongoing discussion on thermalization in closed quantum many-body systems, the eigenstate thermalization hypothesis (ETH) has recently been proposed as a universal concept which attracted considerable attention. So far this concept is, as the name states, hypothetical. The majority of attempts to overcome this hypothetical character is based on exact diagonalization which implies for, e.g., spin systems a limitation to roughly 15 spins. In this Letter we present an approach which pushes this limit up to system sizes of roughly 35 spins, thereby going significantly beyond what is possible with exact diagonalization. A concrete application to a Heisenberg spin-ladder which yields conclusive results is demonstrated.
5 pages, 3 figures, accepted for publication in Physical Review Letters
References in corpus (13)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Real time evolution using the density matrix renormalization group
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Breakdown of thermalization in finite one-dimensional systems
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Typicality for Generalized Microcanonical Ensembles
- Massive Parallel Quantum Computer Simulator
- Eigenstate thermalization within isolated spin-chain systems
- Quantum chaos and thermalization in gapped systems
- Coexistence of diffusive and ballistic transport in a simple spin ladder
- Macroscopically deterministic, Markovian thermalization in finite quantum spin systems
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