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Time crystals: can diamagnetic currents drive a charge density wave into rotation?
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It has been argued recently that an inhomogeneous system could rotate spontaneously in its ground state - hence a 'time crystal' which is periodic in time. In this note we present a very simple example: a superfluid ring threaded by a magnetic field which develops a charge density wave (CDW). A naive calculation shows that diamagnetic currents cannot drive rotation of the CDW, with a clear picture of the cancellation mechanism.
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Time crystals in a shaken atom-cavity system
A phase-modulated transverse pump in a cavity-BEC system is predicted to produce a rigid, tunable incommensurate time crystal, with the cavity photon number pulsing at a period set by the detuning from a parametric resonance.
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