The spontaneous breaking of time-translation symmetry in periodically driven quantum systems leads to a new phase of matter: discrete time crystals (DTC). This phase exhibits collective subharmonic oscillations that depend upon an interplay of non-equilibrium driving, many-body interactions, and the ...
A classical theory can capture prethermal DTCs in high-dimensional lattices with short- to long-range interactions in which discrete time translational symmetry is broken up to an exponentially long time scale (in the driving frequency). Credit: © Figure adapted from Pizzi et al. to appear in...
In contrast, the energy levels of the hydrogen atom in quantum mechanics arise from the discrete spectrum of the Hamiltonian for the electron trapped in the potential well of the more massive proton. Fundamental randomness manifests itself experimentally in the probabilistic nature of quantum state ...
Before long, astute observers spotted distinct similarities between discrete time crystals in quantum systems and so-called parametric resonators, a concept in classical physics reaching back to work by Michael Faraday in 1831. The connection between these two bodies of work remained, however, opaque....
Such a field, which started in the 1980s, is at the crossroads of quantum mechanics, discrete mathematics and informatics with the aim of building a quantum computer. We note in passing that, even in the case where the aim would not be reached, physics, mathematics, informatics and ...
Floquet Time Crystals. Phys. Rev. Lett. 117, 090402 (2016). 36. Zhang, J. et al. Observation of a discrete time crystal. Nature 543, 217–220 (2017). 37. Choi, S. et al. Observation of discrete time-crystalline order in a disordered dipolar many-body system. Nature 543, 221–225...
In this paper we derive a criterion for the breakdown of classical solutions to the incompressible magnetohydrodynamic equations with zero viscosity and po... Yi,Zhou,Zhen,Lei - 《Discrete & Continuous Dynamical Systems》 被引量: 138发表: 2009年 ...
et al. Nonlinear polariton fluids in a flatband reveal discrete gap solitons. Phys. Rev. Lett. 123, 113901 (2019). Article ADS Google Scholar Zhang, L. et al. Weak lasing in one-dimensional polariton superlattices. Proc. Natl Acad. Sci. USA 112, E1516–E1519 (2015). Google Scholar...
1b are used and represented as discrete points for the three intrinsic barrier heights discussed previously. As can be seen in Fig. 1c, at higher temperatures, the lowest two intrinsic barrier heights are non-linear. However, as shown in the inset, at the lowest temperatures, all three ...
Markov State Models (MSMs)52,53,54,55,56,57,58constructed from many short MD simulations provide a promising approach to elucidate the complicated kinetic pathways of ice nucleation. In an MSM, the continuous dynamics are modeled as Markovian transitions among metastable states at discrete time int...