Analytical Solution for the Steady States of the Driven Hubbard model
arXiv:2011.04417 · doi:10.1103/PhysRevB.103.035146
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.
9 pages, 5 figures
References in corpus (11)
- Equilibrium states of generic quantum systems subject to periodic driving
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Coherent control of dressed matter waves
- Nonlinear light-matter interaction at terahertz frequencies
- Optically induced superconductivity in striped La2-xBaxCuO4 by polarization-selective excitation in the near infrared
- Interaction dependent heating and atom loss in a periodically driven optical lattice
- Heating-Induced Long-Range -Pairing in the Hubbard Model
- Theory of Laser-Controlled Competing Superconducting and Charge Orders
- Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
- Dynamical order and superconductivity in a frustrated many-body system
- Producing Coherent Excitations in Pumped Mott Antiferromagnetic Insulators