Next Article in Journal
Relativistic Coupled-Cluster Calculations of Isotope Shifts for the Low-Lying States of Ca II in the Finite-Field Approach
Previous Article in Journal
CAl4Mg0/−: Global Minima with a Planar Tetracoordinate Carbon Atom
Article

Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA
Academic Editors: Masatoshi Kajita and James F. Babb
Received: 7 February 2021 / Revised: 25 March 2021 / Accepted: 10 April 2021 / Published: 12 April 2021
(This article belongs to the Section Cold Atoms, Quantum Gases and Bose-Einstein Condensation)
Periodically driven (Floquet) systems are described by time-dependent Hamiltonians that possess discrete time translation symmetry. The spontaneous breaking of this symmetry leads to the emergence of a novel non-equilibrium phase of matter—the Discrete Time Crystal (DTC). In this paper, we propose a scheme to extend the lifetime of a DTC in a paradigmatic model—a translation-invariant Ising spin chain with nearest-neighbor interaction J, subjected to a periodic kick by a transverse magnetic field with frequency 2πT. This system exhibits the hallmark signature of a DTC—persistent sub-harmonic oscillations with frequency πT—for a wide parameter regime. Employing both analytical arguments as well as exact diagonalization calculations, we demonstrate that the lifetime of the DTC is maximized, when the interaction strength is tuned to an optimal value, JT=π. Our proposal essentially relies on an interaction-induced quantum interference mechanism that suppresses the creation of excitations, and thereby enhances the DTC lifetime. Intriguingly, we find that the period doubling oscillations can last eternally in even size systems. This anomalously long lifetime can be attributed to a time reflection symmetry that emerges at JT=π. Our work provides a promising avenue for realizing a robust DTC in various quantum emulator platforms. View Full-Text
Keywords: time crystals; Floquet systems; time translation symmetry breaking; quantum many-body echo time crystals; Floquet systems; time translation symmetry breaking; quantum many-body echo
Show Figures

Figure 1

MDPI and ACS Style

Choudhury, S. Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder. Atoms 2021, 9, 25. https://0-doi-org.brum.beds.ac.uk/10.3390/atoms9020025

AMA Style

Choudhury S. Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder. Atoms. 2021; 9(2):25. https://0-doi-org.brum.beds.ac.uk/10.3390/atoms9020025

Chicago/Turabian Style

Choudhury, Sayan. 2021. "Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder" Atoms 9, no. 2: 25. https://0-doi-org.brum.beds.ac.uk/10.3390/atoms9020025

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop