Infinitely dimensional Lax structure for one-dimensional Hubbard model

Abstract

We report a two-parametric irreducible infinitely dimensional representation of the Lax integrability condition for the fermi Hubbard chain. Besides being of fundamental interest, hinting on possible novel quantum symmetry of the model, our construction allows for an explicit representation of an exact steady state many-body density operator for non-equilibrium boundary-driven Hubbard chain with arbitrary (asymmetric) particle source/sink rates at the letf/right end of the chain and with arbitrary boundary values of chemical potentials.

5 pages in RevTex, 1 figure, version as accepted by Phys. Rev. Lett

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Cited by in corpus (17)

• Quasilocal charges in integrable lattice systems
• Nonequilibrium many-body steady states via Keldysh formalism
• Matrix product solutions of boundary driven quantum chains
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
• Criteria for Davies Irreducibility of Markovian Quantum Dynamics
• Tuning energy transport using interacting vibrational modes
• Environment-induced decay dynamics of anti-ferromagnetic order in Mott-Hubbard systems
• Charge and spin current statistics of the open Hubbard model with weak coupling to the environment
• Boundary driven $XYZ$ chain: Exact inhomogeneous triangular matrix product ansatz
• Strongly correlated non-equilibrium steady states with currents --- quantum and classical picture
• Exact density profile in a tight-binding chain with dephasing noise
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Efficient quantum information probes of non-equilibrium quantum criticality
• Integrability versus chaos in the steady state of many-body open quantum systems
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Exact steady states of the impurity-doped XXZ spin chain coupled to dissipators