Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities

Jin, Jiasen; Rossini, Davide; Leib, Martin; Hartmann, Michael J.; Fazio, Rosario

doi:10.1103/physreva.90.023827

Cited by 63 publications

(87 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In our opinion, the combination of many-body physics, dissipation, and driving is interesting. It provides new phases to explore with nonthermal but equilibrated states, as already demonstrated in the dissipative driven Bose-Hubbard model [24,25]. Besides, it establishes a link with manmade realizations of lattice systems where dissipation can be an issue [5].…”

Section: Introductionmentioning

confidence: 78%

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

et al. 2015

View full text Add to dashboard Cite

We demonstrate that stationary localized solutions (discrete solitons) exist in one-dimensional Bose-Hubbard lattices with gain and loss in a semiclassical regime. Stationary solutions, by definition, are robust and do not demand state preparation. Losses, unavoidable in experiments, are not a drawback, but a necessary ingredient for these modes to exist. The semiclassical calculations are complemented with their classical limit and dynamics based on a Gutzwiller ansatz. We argue that circuit quantum electrodynamic architectures are ideal platforms for realizing the physics developed here. Finally, within the input-output formalism, we explain how to experimentally access the different phases, including the solitons, of the chain.

show abstract

Section: Introductionmentioning

confidence: 78%

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

et al. 2015

View full text Add to dashboard Cite

show abstract

“…Gases of Rydberg atoms are also predicted to exhibit AF order [64][65][66], though unlike the model we consider here, their interactions (due to the Rydberg blockade) are effectively antiferromagnetic in nature. Other works studying the hard-core DDBH model also predict AF order, though they consider variants of the model that include spatially varying drive fields [67], two-cavity pumping [52], and cross-Kerr terms [68,69]. Our system exhibits AF order in the absence of these features, despite the ferromagnetic nature of the couplings.…”

mentioning

confidence: 79%

Collective phases of strongly interacting cavity photons

Wilson

Mahmud

et al. 2016

Phys. Rev. A

View full text Add to dashboard Cite

We study a coupled array of coherently driven photonic cavities, which maps onto a drivendissipative XY spin-1 2 model with ferromagnetic couplings in the limit of strong optical nonlinearities. Using a site-decoupled mean-field approximation, we identify steady state phases with canted antiferromagnetic order, in addition to limit cycle phases, where oscillatory dynamics persist indefinitely. We also identify collective bistable phases, where the system supports two steady states among spatially uniform, antiferromagnetic, and limit cycle phases. We compare these mean-field results to exact quantum trajectories simulations for finite one-dimensional arrays. The exact results exhibit short-range antiferromagnetic order for parameters that have significant overlap with the mean-field phase diagram. In the mean-field bistable regime, the exact quantum dynamics exhibits real-time collective switching between macroscopically distinguishable states. We present a clear physical picture for this dynamics, and establish a simple relationship between the switching times and properties of the quantum Liouvillian.Despite numerous outstanding questions, the study of quantum many-body systems in thermal equilibrium is on relatively solid ground. In particular, very general guiding principles help to categorize the possible equilibrium phases of matter, and predict in what situations they can occur [1][2][3]. In comparison, quantum manybody systems that are far from equilibrium are less thoroughly understood, motivating a large scale effort to explore non-equilibrium dynamics experimentally, in particular using atoms, molecules, and photons [4][5][6][7][8][9]. At the same time, it has become clear that studying nonequilibrium physics in these systems is often more natural than studying equilibrium physics; they are, in general, intrinsically non-equilibrium. For example, thermal equilibrium is essentially never a reasonable assumption in photonic systems, where dissipation must be countered by active pumping [10]. Indeed, the inadequacy of equilibrium descriptions for photonic systems has long been recognized [11], even though close analogies to thermal systems sometimes exist [12][13][14][15][16].Until recently, photonic systems have been restricted to a weakly interacting regime. With notable progress towards generating strong optical nonlinearities at the few-photon level, for example with atoms coupled to small-mode-volume optical devices [17][18][19][20][21][22], Rydberg polaritons [23,24], and circuit-QED devices [25][26][27][28], this situation is rapidly changing. The production of strongly interacting, driven and dissipative gases of photons appears to be feasible [29,30], and affords exciting opportunities to explore the properties of open quantum systems in unique contexts, while studying the applicability of theoretical treatments designed with more weakly interacting systems in mind. For example, it is not fully understood how the steady states of these systems relate to the equilibrium states of their "closed" c...

show abstract

“…For nonequilibrium systems the situation is quite different. Even though mean-field calculations offer a first step to help uncover the intricate dynamics taking place, and have been used in several recent studies of driven-dissipative models [9][10][11][12][19][20][21][22][23][24][25][26][27][28], it is not clear that they can provide even a qualitatively correct physical description. Furthermore, reasoning based on the Ginzburg criterion, according to which equilibrium critical phenomena are correctly described by mean-field theory above a critical spatial dimension [17], cannot be relied upon in nonequilibrium settings.…”

Section: Introductionmentioning

confidence: 99%

Beyond mean-field bistability in driven-dissipative lattices: Bunching-antibunching transition and quantum simulation

et al. 2016

View full text Add to dashboard Cite

In the present work we investigate the existence of multiple nonequilibrium steady states in a coherently-driven XY lattice of dissipative two-level systems. A commonly-used mean-field ansatz, in which spatial correlations are neglected, predicts a bistable behavior with a sharp shift between low-and high-density states. In contrast one-dimensional matrix product methods reveal these effects to be artifacts of the mean-field approach, with both disappearing once correlations are taken fully into account. Instead a bunching-antibunching transition emerges. This indicates that alternative approaches should be considered for higher spatial dimensions, where classical simulations are currently infeasible. Thus we propose a circuit QED quantum simulator implementable with current technology, to enable an experimental investigation of the model considered.

show abstract

Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities

Cited by 63 publications

References 54 publications

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

Collective phases of strongly interacting cavity photons

Beyond mean-field bistability in driven-dissipative lattices: Bunching-antibunching transition and quantum simulation

Contact Info

Product

Resources

About