Analytical Solution for the Steady States of the Driven Hubbard model

Abstract

Under the action of coherent periodic driving a generic quantum system will undergo Floquet heating and continously absorb energy until it reaches a featureless thermal state. The phase-space constraints induced by certain symmetries can, however, prevent this and allow the system to dynamically form robust steady states with off-diagonal long-range order. In this work, we take the Hubbard model on an arbitrary lattice with arbitrary filling and, by simultaneously diagonalising the two possible SU(2) symmetries of the system, we analytically construct the correlated steady states for different symmetry classes of driving. This construction allows us to make verifiable, quantitative predictions about the long-range particle-hole and spin-exchange correlations that these states can possess. In the case when both SU(2) symmetries are preserved in the thermodynamic limit we show how the driving can be used to form a unique condensate which simultaneously hosts particle-hole and spin-wave order.

arXiv comment9 pages, 5 figures

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• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Dynamic generation of nonequilibrium superconducting states in Kitaev chain
• Kapitza stabilization of quantum critical order
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• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems
• Non-Markovian dynamics in nonstationary Gaussian baths: a hierarchy of pure states approach
• Magnetization of electronic ground states in frustrated superstable graphs