Out-of-equilibrium physics in driven dissipative coupled resonator arrays

Changsuk Noh, Stephen R. Clark, Dieter Jaksch, Dimitris G. Angelakis

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

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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.
Original languageEnglish
Title of host publicationQuantum Simulations with Photons and Polaritons
EditorsDimitris G Angelakis
PublisherSpringer, Cham
Pages43-70
Number of pages28
ISBN (Electronic)9783319520254
ISBN (Print)9783319520230
DOIs
Publication statusPublished - 12 May 2017

Publication series

NameQuantum Science and Technology
ISSN (Print)2364-9054

Bibliographical note

Chapter that appeared in "Quantum Simulations with Photons and Polaritons: Merging Quantum Optics with Condensed Matter Physics" edited by D.G.Angelakis, Quantum Science and Technology Series, Springer 2017

Keywords

  • quant-ph

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