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This research presents a novel method using dissipative auxiliaries to stabilize non-equilibrium dynamical orders, such as time crystals, in driven quantum systems like Floquet-engineered Ising chains. By providing an analytical framework based on rate theory and Fermi's Golden Rule, the study offers crucial insights into maintaining coherence in open quantum systems without relying solely on isolation. This advancement is significant for developing robust protocols to engineer steady states with properties absent in equilibrium physics.
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Dissipative Stabilization of Floquet-Engineered Many-Body Order

arXiv2 min read

arXiv:2607.16391v1 Announce Type: new Abstract: Floquet driving underlies Hamiltonian and gate engineering, and produces dynamical orders with no equilibrium counterpart. These phenomena are, however, transient in well-isolated systems. We show that statically coupled dissipative auxiliaries cool the system toward low-energy states of the Floquet-engineered Hamiltonian, stabilizing orders in the steady state. The excess energy density is controllably small at high drive frequency and weak coupling and is captured by rate theory based on Fermi's Golden Rule. We numerically confirm robust cooling in a Floquet-engineered transverse-field Ising chain in both phases, and demonstrate discrete time-crystalline order, with a period-doubled magnetization response, in the steady state of a long-range Ising chain. Our results provide a rare analytical handle on the steady states of driven dissipative systems.

Abstract:Floquet driving underlies Hamiltonian and gate engineering, and produces dynamical orders with no equilibrium counterpart. These phenomena are, however, transient in well-isolated systems. We show that statically coupled dissipative auxiliaries cool the system toward low-energy states of the Floquet-engineered Hamiltonian, stabilizing orders in the steady state. The excess energy density is controllably small at high drive frequency and weak coupling and is captured by rate theory based on Fermi's Golden Rule. We numerically confirm robust cooling in a Floquet-engineered transverse-field Ising chain in both phases, and demonstrate discrete time-crystalline order, with a period-doubled magnetization response, in the steady state of a long-range Ising chain. Our results provide a rare analytical handle on the steady states of driven dissipative systems.

Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el)

arXiv:2607.16391 [quant-ph]

(or arXiv:2607.16391v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.16391 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 220 words

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