Abstract
We investigate an open XYZ spin- chain driven out of equilibrium by boundary reservoirs targeting different spin orientations, aligned along the principal axes of anisotropy. We show that by tuning local magnetic fields, applied to spins at sites near the boundaries, one can change any nonequilibrium steady state to a fully uncorrelated Gibbsian state at infinite temperature. This phenomenon occurs for strong boundary coupling and on a critical manifold in the space of the fields amplitudes. The structure of this manifold depends on the anisotropy degree of the model and on the parity of the chain size.
Highlights
Manipulating a quantum system in non–equilibrium conditions appears nowadays one of the most promising perspectives for proceeding our exploration of the intrinsic richness of quantum physics and for obtaining an insight on its potential applications [1,2,3]
We investigate an open XY Z spin 1/2 chain driven out of equilibrium by boundary reservoirs targeting different spin orientations, aligned along the principal axes of anisotropy
We show that by tuning local magnetic fields, applied to spins at sites near the boundaries, one can change any nonequilibrium steady state to a fully uncorrelated Gibbsian state at infinite temperature
Summary
Manipulating a quantum system in non–equilibrium conditions appears nowadays one of the most promising perspectives for proceeding our exploration of the intrinsic richness of quantum physics and for obtaining an insight on its potential applications [1,2,3]. Much attention has been devoted to the study of the nonequilibrium steady state (NESS) in quantum spin chains, coupled to an environment, or a measuring apparatus This is described, under Markovianity assumptions [4,5,6], in the framework of a Lindblad Master equation (LME) for a reduced density matrix, where a unitary evolution, described via Hamiltonian dynamics, is competing with a Lindblad dissipative action. We investigate how this non projective Zeno regime can be manipulated by the action of a strictly local magnetic field, whose strength is of the order of the exchange interaction energy of the XYZ Heisenberg spin chain model. Appendices A,B, C and D contain some relevant technical aspects
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