The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

We review the application of discrete time crystals created in a Bose-Einstein condensate
(BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the …

We investigate the size of discrete time crystals s (ratio of response period to driving period)
that can be created for a Bose–Einstein condensate (BEC) bouncing resonantly on an …

Periodically driven (Floquet) phases are attractive due to their ability to host unique physical
phenomena with no static counterparts. We propose a general approach in nontrivially …

Time crystalline structures are characterized by regularity that single-particle or many-body
systems manifest in the time domain, closely resembling the spatial regularity of ordinary …

Nonequilibrium phases of quantum matter featuring time crystalline eigenstate order have
been realized recently on noisy intermediate-scale quantum (NISQ) devices. While ideal …

We show that interacting bosons on a ring which are driven periodically by a rotating
potential can support discrete time crystals whose absolute stability can be proven. The …

We present a fully comprehensive multi-mode quantum treatment based on the truncated
Wigner approximation (TWA) to study many-body effects and effects of quantum fluctuations …

The concept of synthetic dimensions works particularly well in atomic physics, quantum
optics, and photonics, where the internal degrees of freedom (Zeeman sublevels of the …

Description of periodically and resonantly driven quantum systems can lead to solid state
models where condensed matter phenomena can be investigated in time lattices formed by …