4 problems

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The conjecture on exponentially long-lived discrete time-crystalline behavior
Consider the Floquet system defined by the Hamiltonian model in equation, with parameters $(\mathbf h,\mathbf J)\in[-20,20]^{\times(3N-1)}$ . Discrete time-crystal stability conject…
Conjecturerefuteddiscrete-time-crystals floquet-systems many-body-localizationarXiv posted 2 days ago
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The approximate periodicity conjecture for long-time Floquet properties
Let $H(t)$ be a time-dependent Hamiltonian with period $1$ , let $U(0,t)$ be its time-evolution operator, and let $|\psi(t)\rangle=U(0,t)|\psi(0)\rangle$ be the state evolved from a…
Conjecturerefutedfloquet-systems quantum-dynamics time-crystalsarXiv posted 2 days ago
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Integrability of the two-step Temperley–Lieb Floquet protocol at equal time steps
The two-step Temperley–Lieb algebraic Floquet protocol has evolution operators generated by two time steps $T_1$ and $T_2$ , with $\beta$ denoting the Temperley–Lieb parameter. Inte…
Conjectureopenfloquet-systems quantum-integrability temperley-lieb-algebraarXiv posted 2 days ago
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The rational-heating-phase conjecture for Floquet conformal field theories
Consider heating phases in the phase diagram of a Floquet conformal field theory, with fixed points whose periods are labeled by positive integers and whose intersections with the…
Conjectureopenconformal-field-theory floquet-systems nonequilibrium-physicsarXiv posted 2 days ago

4 problems

The conjecture on exponentially long-lived discrete time-crystalline behavior

The approximate periodicity conjecture for long-time Floquet properties

Integrability of the two-step Temperley–Lieb Floquet protocol at equal time steps

The rational-heating-phase conjecture for Floquet conformal field theories