# Isolated Heisenberg magnet as a quantum time crystal

@article{Medenjak2020IsolatedHM,
title={Isolated Heisenberg magnet as a quantum time crystal},
author={Marko Medenjak and Berislav Bu{\vc}a and Dieter Jaksch},
journal={Physical Review B},
year={2020},
volume={102},
pages={041117}
}
• Published 20 May 2019
• Physics
• Physical Review B
Local observables of closed many-body quantum systems are generally believed to quickly equilibrate after a quench, according to the eigenstate thermalization hypothesis. Here, the authors show that the paradigmatic Heisenberg quantum magnet violates this fundamental assumption. They analytically find measurable local correlation functions that show perpetual oscillations, while at the same time all single-particle observables equilibrate. They link their existence to the presence of dynamical…
32 Citations

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## References

SHOWING 1-10 OF 108 REFERENCES
Strongly correlated fermions after a quantum quench.
• Physics, Medicine
Physical review letters
• 2007
This work studies the time evolution of strongly correlated spinless fermions on a one-dimensional lattice after a sudden change of the interaction strength and finds that the resulting quasistationary state is nonthermal.
Periodic thermodynamics of isolated quantum systems.
• Physics, Medicine
Physical review letters
• 2014
It is analytically show that, for a class of integrable systems, the relevant ensemble is constructed by maximizing an appropriately defined entropy subject to constraints, which is explicitly identified.
Time-Resolved Observation of Thermalization in an Isolated Quantum System.
• Physics, Medicine
Physical review letters
• 2016
This work uses trapped atomic ions forming a hybrid Coulomb crystal and exploit its phonons to study an isolated quantum system composed of a single spin coupled to an engineered bosonic environment and observes the emergence of thermalization.
Quantum quench in an atomic one-dimensional Ising chain.
This work reports significant modification of the tunneling rate induced by interactions and shows clear evidence for collective effects in the oscillatory response in an ensemble of tilted one-dimensional atomic Bose-Hubbard chains after a sudden quench.
Discrete Time Crystals in the Absence of Manifest Symmetries or Disorder in Open Quantum Systems.
• Physics, Medicine
Physical review letters
• 2019
A semiclassical approach reveals the emergence of a robust discrete time-crystalline phase in the thermodynamic limit in which metastability, dissipation, and interparticle interactions play a crucial role.
Effective thermal dynamics following a quantum quench in a spin chain.
• Physics, Medicine
Physical review letters
• 2009
The nonequilibrium dynamics of the quantum Ising model following an abrupt quench of the transverse field is studied, and it is observed that the dependence of tau(Q)(phi) on the effective temperature fairly agrees with that obtained in thermal equilibrium as a function of the equilibrium temperature.
Ballistic Spin Transport in a Periodically Driven Integrable Quantum System.
• Physics, Medicine
Physical review letters
• 2019
An analytic family of quasilocal conservation laws that break the spin-reversal symmetry and compute a lower bound on the spin Drude weight, which is found to be a fractal function of the anisotropy parameter.
Quantum statistical mechanics in a closed system.
• Deutsch
• Physics, Medicine
Physical review. A, Atomic, molecular, and optical physics
• 1991
A closed quantum-mechanical system with a large number of degrees of freedom does not necessarily give time averages in agreement with the microcanonical distribution, so by adding a finite but very small perturbation in the form of a random matrix, the results of quantum statistical mechanics are recovered.
Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One-Dimensional Bose Gases
• Physics
• 2014
Real-time dynamics in a quantum many-body system are inherently complicated and hence difficult to predict. There are, however, a special set of systems where these dynamics are theoretically
Signatures of integrability in the dynamics of Rydberg-blockaded chains
• Physics
Physical Review B
• 2019
A recent experiment on a 51-atom Rydberg-blockaded chain observed anomalously long-lived temporal oscillations of local observables after quenching from an antiferromagnetic initial state. This