Colloquium: Quantum and classical discrete time crystals
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 …
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …
Time crystals: a review
Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in
2012. While the original concept was strongly criticized, it stimulated at the same time an …
2012. While the original concept was strongly criticized, it stimulated at the same time an …
Time-crystalline eigenstate order on a quantum processor
Quantum many-body systems display rich phase structure in their low-temperature
equilibrium states. However, much of nature is not in thermal equilibrium. Remarkably, it was …
equilibrium states. However, much of nature is not in thermal equilibrium. Remarkably, it was …
Discrete time crystals
Experimental advances have allowed for the exploration of nearly isolated quantum many-
body systems whose coupling to an external bath is very weak. A particularly interesting …
body systems whose coupling to an external bath is very weak. A particularly interesting …
Periodic orbits, entanglement, and quantum many-body scars in constrained models: Matrix product state approach
We analyze quantum dynamics of strongly interacting, kinetically constrained many-body
systems. Motivated by recent experiments demonstrating surprising long-lived, periodic …
systems. Motivated by recent experiments demonstrating surprising long-lived, periodic …
Topology and broken symmetry in Floquet systems
Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …
should absorb energy from the external drives involved in modulating their couplings and …
Observation of discrete-time-crystal signatures in an ordered dipolar many-body system
J Rovny, RL Blum, SE Barrett - Physical review letters, 2018 - APS
A discrete time crystal (DTC) is a robust phase of driven systems that breaks the discrete
time translation symmetry of the driving Hamiltonian. Recent experiments have observed …
time translation symmetry of the driving Hamiltonian. Recent experiments have observed …
Colloquium: Many-body localization, thermalization, and entanglement
Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …
equilibrium. However, not all systems fall into this category, with many-body localization …
Boundary time crystals
In this work we introduce boundary time crystals. Here continuous time-translation symmetry
breaking occurs only in a macroscopic fraction of a many-body quantum system. After …
breaking occurs only in a macroscopic fraction of a many-body quantum system. After …
Discrete time-crystalline order in cavity and circuit QED systems
Discrete time crystals are a recently proposed and experimentally observed out-of-
equilibrium dynamical phase of Floquet systems, where the stroboscopic dynamics of a local …
equilibrium dynamical phase of Floquet systems, where the stroboscopic dynamics of a local …