Boundary-driven Heisenberg chain in the long-range interacting regime: Robustness against far-from-equilibrium effects

Abstract

We investigate the Heisenberg XXZ-chain with long-range interactions in the Z-dimension. By applying two magnetic boundary reservoirs we drive the system out of equilibrium and induce a nonzero steady state current. The long-range coupled chain shows nearly ballistic transport and linear response for all potential differences of the external reservoirs. In contrast, the common isotropic nearest-neighbor coupling shows negative differential conductivity and a transition from diffusive to subdiffusive transport for a far from equilibrium driving. Adding disorder, the change in the transport for nearest neighbor coupling is therefore highly dependent on the driving. We find for the disordered long-range coupled XXZ-chain, any change in the transport behavior is independent of the potential difference and the coupling strengths of the external reservoirs.

Giant Spin Current Rectification Due to the Interplay of Negative Differential Conductance and a Non-Uniform Magnetic Field

“…In future works, we could consider the stability of this effect against other forms of dissipation. For instance, dephasing has been shown to suppress negative differential conductance [ 18 ], or perturbations, such as long range interactions, have a detrimental effect on negative differential conductance [ 29 ]. Another possible direction would be to consider the performance of this diode for heat current rectification [ 26 , 27 , 28 ].…”

Sampling asymmetric open quantum systems for artificial neural networks

“…In this Letter, we demonstrate that commonly applied sampling techniques are highly unfavorable for the training of RBMs representing asymmetric open quantum systems, i.e., systems without symmetries of translational [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. First, we provide converging results for a symmetric scenario and further improve computational efficiency by proposing an adjustment to the default Metropolis sampling approach.…”

“…An isotropic Heisenberg chain featuring N sites, next-neighbor coupling and open boundary conditions is subject to both incoherent dissipation and driving on all sites. The corresponding Hamiltonian is given by [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]…”

Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution

“…In recent years, there has been a growing interest in transport properties of the spin chains, especially of the paradigmatic model of the Heisenberg chain. In this work, the chain is coupled to reservoirs at both ends and, using a full Markovian interaction, it is incoherently driven into a NESS [ 18 , 19 , 32 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 90 , 91 , 92 ]. For the weak driving regime, anomalous transport properties have been demonstrated [ 30 , 65 , 93 ].…”

“…As a special case of open quantum systems, strongly interacting many-body systems also have drawn increasing interest recently, for instance for the purposes of quantum simulation [ 17 ]. In particular, quantum spin chains have been the subject of interest due to the rich variety of phenomena arising from the environmental interaction such as phase transitions [ 18 , 19 , 20 , 21 , 22 , 23 ], quantum transport properties [ 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 ] and entanglement structure [ 33 , 34 ].…”