Modeling spontaneous breaking of time-translation symmetry

  title={Modeling spontaneous breaking of time-translation symmetry},
  author={Krzysztof Sacha},
  journal={Physical Review A},
  • K. Sacha
  • Published 14 October 2014
  • Physics
  • Physical Review A
We show that an ultra-cold atomic cloud bouncing on an oscillating mirror can reveal spontaneous breaking of a discrete time translation symmetry. In many-body simulations we illustrate the process of the symmetry breaking that can be induced by atomic losses or by a measurement of particle positions. The results pave the way for understanding and realization of the time crystal idea where crystalline structures form in the time domain due to spontaneous breaking of continuous time translation… 

Figures from this paper

Observation of a Space-Time Crystal in a Superfluid Quantum Gas.
The observation of a space-time crystal using ultracold atoms, where the periodic structure in both space and time is directly visible in the experimental images, paving the way for the usage of space- time crystals for the discovery of novel nonequilibrium phases of matter.
Time symmetry breaking in Bose-Einstein condensates
We consider different processes leading to time symmetry breaking in a Bose–Einstein condensate. Our approach provides a global description of time symmetry breaking, based on the equations of a
Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
Spontaneous breaking of continuous time translation symmetry into a discrete one is related to time crystal formation. While the phenomenon is not possible in the ground state of a time-independent
Spatial-Translation-Induced Discrete Time Crystals.
It is demonstrated that the local transport of charges or spins shows a nontrivial oscillation, enabling detection and applications of time crystal orders, and also provide promising platforms including quantum circuits.
Observation of a discrete time crystal
The experimental observation of a discrete time crystal, in an interacting spin chain of trapped atomic ions, is presented, which opens the door to the study of systems with long-range spatio-temporal correlations and novel phases of matter that emerge under intrinsically non-equilibrium conditions.
Emergent limit cycles and time crystal dynamics in an atom-cavity system
We propose an experimental realization of a time crystal using an atomic Bose-Einstein condensate in a high finesse optical cavity pumped with laser light detuned to the blue side of the relevant
Dynamics of a space-time crystal in an atomic Bose-Einstein condensate
A space-time crystal has recently been observed in a superfluid Bose gas. Here we construct a variational model that allows us to describe from first principles the coupling between the radial
Time crystals: Analysis of experimental conditions
Time crystals are quantum many-body systems which are able to self-organize their motion in a periodic way in time. Discrete time crystals have been experimentally demonstrated in spin systems.
Boundary Time Crystals.
This work introduces boundary time crystals and analyzes in detail a solvable model where an accurate scaling analysis can be performed.
Realizing time crystals in discrete quantum few-body systems
The exotic phenomenon of time translation symmetry breaking under periodic driving - the time crystal - has been shown to occur in many-body systems even in clean setups where disorder is absent. In