Continuous time crystal from a spontaneous many-body Floquet state
- URL: http://arxiv.org/abs/2107.00674v3
- Date: Thu, 21 Apr 2022 18:00:02 GMT
- Title: Continuous time crystal from a spontaneous many-body Floquet state
- Authors: J. R. M. de Nova, F. Sols
- Abstract summary: We show that a spontaneous many-body Floquet state is a universal intrinsic state of a one-dimensional flowing atom condensate, both subsonic and supersonic.
A spontaneous many-body Floquet state not only represents a realization of a continuous time crystal, but also a novel paradigm in Floquet physics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Floquet driven systems represent an extremely interesting arena to study
out-of-equilibrium phenomena. For instance, they provide realizations of
discrete time crystals, where the discrete time translation symmetry of the
periodic Hamiltonian is spontaneously broken by a subharmonic response of the
system. However, the continuous presence of an external periodic driving is
required within the current Floquet paradigm. We propose here the concept of
spontaneous many-body Floquet state. This is a state that, in the absence of
external periodic driving, self-oscillates like in the presence of a periodic
Hamiltonian, this behavior being spontaneously induced by many-body
interactions. In addition, its quantum fluctuations are described by regular
Floquet theory. Furthermore, it is also a time crystal, presenting long-range
time-periodic order. However, this crystalline behavior is very different to
that of conventional Floquet discrete time crystals: here, there is no external
periodic driving, energy is conserved, and the nature of the spontaneous
symmetry breaking is continuous instead of discrete. We demonstrate that
spontaneous many-body Floquet states can emerge in a variety of canonical
many-body problems, ranging from interacting fermions to Bose-Hubbard models.
We specifically show that a spontaneous many-body Floquet state is a universal
intrinsic state of a one-dimensional flowing atom condensate, both subsonic and
supersonic, resulting from a dynamical phase transition and robust against
external perturbations and quantum fluctuations, proposing also realistic
experimental scenarios for its observation. A spontaneous many-body Floquet
state not only represents a realization of a continuous time crystal, but also
a novel paradigm in Floquet physics.
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