Steady states of a driven dissipative dipolar XXZ chain

Abstract

We study theoretically a driven dissipative one-dimensional XXZ spin−1/2 chain with dipole coupling and a tunable strength of the Ising and XY interaction. Within a mean-field approximation, we find a rich phase diagram with uniform, spin density wave, antiferromagnetic and oscillatory phases, as well as regions of phase bistability. We study the phase diagram of small quantum systems using exact diagonalisation, and compare the results to the mean-field theory. We find that while expectation values only capture the uniform phases of the mean-field theory, fluctuations about these expectation values give signatures of spatially non-uniform phases and bistabilities. We find these signatures for all ratios of the Ising to XY interaction, showing that they appear to be general features of spin−1/2 systems. arXiv:1906.10953v1 [cond-mat.quant-gas]

Exact bistability and time pseudo-crystallization of driven-dissipative fermionic lattices

“…Bistability in driven-dissipative models usually means the presence of two possible stationary states of the system that can be distinguished by local observable measurements. Although on the level of the meanfield approximation it can be easily established whether or not it exists, its actual existence, in particular in low-dimensional strongly interacting systems, remains quite controversial with both theoretical and experimental work reporting differing conclusions [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The existing approaches usually rely on sophisticated theoretical techniques for including perturbations of finite-size corrections to the mean-field or large scale efficient numerical simulations such as t-DMRG [8] or projected entangled pair states (PEPS) [16].…”

Emergence of prethermal states in a driven dissipative system through cross-correlated dissipation

“…Moreover, it has already been demonstrated that the cooperative dynamics of two interacting (dipole-dipole) two-level atoms can result in the inhibition of their fluorescence -a phenomenon attributed to the coupling between the symmetric and antisymmetric collective states [12]. The emergence of collective steady states of driven two-level systems coupled by their mutual dipolar interactions has received considerable interest in the recent years [13][14][15][16]. In this work, our aim is to show that the prethermal phase can also appear in the dynamics of an interacting two-qubit system, coupled to a thermal bath if we consider the cross-correlated dissipators from the drive and inter-qubit interactions.…”