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Out-of-equilibrium physics in driven dissipative coupled resonator arrays
Quantum Physics · Submitted 12 May 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this chapter, we review some of the physics arising in driven dissipative coupled resonator arrays including photon fermionisa- tion, crystallisation, as well as photonic quantum Hall physics out of equilibrium.
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The abstract, sentence by sentence
Coupled resonator arrays have been shown to exhibit interesting many- body physics including Mott and Fractional Hall states of photons. One of the main differences between these photonic quantum simulators and their cold atoms coun- terparts is in the dissipative nature of their photonic excitations. The natural equi- librium state is where there are no photons left in the cavity. Pumping the system with external drives is therefore necessary to compensate for the losses and realise non-trivial states. The external driving here can easily be tuned to be incoherent, coherent or fully quantum, opening the road for exploration of many body regimes beyond the reach of other approaches. In this chapter, we review some of the physics arising in driven dissipative coupled resonator arrays including photon fermionisa- tion, crystallisation, as well as photonic quantum Hall physics out of equilibrium. We start by briefly describing possible experimental candidates to realise coupled resonator arrays along with the two theoretical models that capture their physics, the Jaynes-Cummings-Hubbard and Bose-Hubbard Hamiltonians. A brief review of the analytical and sophisticated numerical methods required to tackle these systems is included.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Coupled resonator arrays have been shown to exhibit interesting many- body physics including Mott and Fractional Hall states of photons. | background 1.00 | 0.05 | 0.05 | asserted 1.00 |
| s1 | One of the main differences between these photonic quantum simulators and their cold atoms coun- terparts is in the dissipative nature of their photonic excitations. | background 1.00 | 0.07 | 0.04 | asserted 1.00 |
| s2 | The natural equi- librium state is where there are no photons left in the cavity. | background 1.00 | 0.07 | 0.03 | asserted 1.00 |
| s3 | Pumping the system with external drives is therefore necessary to compensate for the losses and realise non-trivial states. | background 0.96 | 0.06 | 0.06 | asserted 0.99 |
| s4 | The external driving here can easily be tuned to be incoherent, coherent or fully quantum, opening the road for exploration of many body regimes beyond the reach of other approaches. | background 0.51 | 0.08 | 0.11 | asserted 0.79 |
| s5 | In this chapter, we review some of the physics arising in driven dissipative coupled resonator arrays including photon fermionisa- tion, crystallisation, as well as photonic quantum Hall physics out of equilibrium. | contribution 0.99 | 0.25 | 0.13 | asserted 0.88 |
| s6 | We start by briefly describing possible experimental candidates to realise coupled resonator arrays along with the two theoretical models that capture their physics, the Jaynes-Cummings-Hubbard and Bose-Hubbard Hamiltonians. | method 0.61 | 0.26 | 0.03 | asserted 0.69 |
| s7 | A brief review of the analytical and sophisticated numerical methods required to tackle these systems is included. | method 0.69 | 0.28 | 0.02 | asserted 0.91 |
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Original abstract
Coupled resonator arrays have been shown to exhibit interesting many- body physics including Mott and Fractional Hall states of photons. One of the main differences between these photonic quantum simulators and their cold atoms coun- terparts is in the dissipative nature of their photonic excitations. The natural equi- librium state is where there are no photons left in the cavity. Pumping the system with external drives is therefore necessary to compensate for the losses and realise non-trivial states. The external driving here can easily be tuned to be incoherent, coherent or fully quantum, opening the road for exploration of many body regimes beyond the reach of other approaches. In this chapter, we review some of the physics arising in driven dissipative coupled resonator arrays including photon fermionisa- tion, crystallisation, as well as photonic quantum Hall physics out of equilibrium. We start by briefly describing possible experimental candidates to realise coupled resonator arrays along with the two theoretical models that capture their physics, the Jaynes-Cummings-Hubbard and Bose-Hubbard Hamiltonians. A brief review of the analytical and sophisticated numerical methods required to tackle these systems is included.
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