Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions

Abstract

Time crystals are quantum many-body systems which, due to interactions between particles, are able to spontaneously self-organize their motion in a periodic way in time by analogy with the formation of crystalline structures in space in condensed matter physics. In solid state physics properties of space crystals are often investigated with the help of external potentials that are spatially periodic and reflect various crystalline structures. A similar approach can be applied for time crystals, as periodically driven systems constitute counterparts of spatially periodic systems, but in the time domain. Here we show that condensed matter problems ranging from single particles in potentials of quasi-crystal structure to many-body systems with exotic long-range interactions can be realized in the time domain with an appropriate periodic driving. Moreover, it is possible to create molecules where atoms are bound together due to destructive interference if the atomic scattering length is modulated in time.

misprints corrected

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Cited by in corpus (52)

• Non-reciprocal phase transitions
• Observation of time quasicrystal and its transition to superfluid time crystal
• Discrete Time Quasi-Crystals
• Time crystals: analysis of experimental conditions
• Dynamical quantum phase transitions in discrete time crystals
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Condensed Matter Physics in Time Crystals
• Topological Time Crystals
• Time-quasiperiodic topological superconductors with Majorana Multiplexing
• Floquet Time Spirals and Stable Discrete Time Quasi-Crystals in Quasi-Periodically Driven Quantum Many-Body Systems
• Fractional Time Crystals
• Creating big time crystals with ultracold atoms
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Synthetic dimensions for topological and quantum phases: Perspective
• Discrete time crystals in many-body quantum chaos
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
• Phase diagram and optimal control for n-tupling discrete time crystal
• Chimera Time-Crystalline order in quantum spin networks
• Six-dimensional time-space crystalline structures
• A Decade of Time Crystals: Quo Vadis?
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Anharmonic classical time crystals: A coresonance pattern formation mechanism
• Lack of a genuine time crystal in a chiral soliton model
• Many-Body Effects and Quantum Fluctuations for Discrete Time Crystals in Bose-Einstein Condensates
• Single-particle localization in dynamical potentials
• Observation of a phase transition from a continuous to a discrete time crystal
• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
• Topological and dynamical features of periodically driven spin ladders
• Nonlocal discrete time crystals in periodically driven surface codes
• Engineering Arbitrary Hamiltonians in Phase Space
• Inseparable time-crystal geometries on the Möbius strip
• Controlled preparation of phases in two-dimensional time crystals
• Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking
• Two-dimensional Thouless pumping in time-space crystalline structures
• Anderson Molecules
• Thermodynamics and Phase Transition in Shapere-Wilczek {\it fgh} model: Cosmological Time Crystal in Quadratic Gravity
• Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
• Classical and quantum time crystals in a levitated nanoparticle without drive
• Classical Phase Space Crystals in an Open Environment
• Basis for time crystal phenomena in ultra-cold atoms bouncing on an oscillating mirror
• Quantum metrology with Bloch Oscillations in Floquet phase space
• Dephasing-induced growth of discrete crystalline order in spin networks
• Topologically protected quantized changes of the distance between atoms
• Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!
• Condensed matter physics in big discrete time crystals
• Towards Timetronics with Photonic Systems
• Quantum repetition codes as building blocks of large period discrete time crystals
• Topological Molecules and Topological Localization of a Rydberg Electron on a Classical Orbit
• Archimedean Screw in Driven Chiral Magnets
• Atomic Regional Superfluids in two-dimensional Moiré Time Crystals
• Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap
• Emergent time crystals from phase-space noncommutative quantum mechanics