Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity

Umucalılar, R. O.; Carusotto, Iacopo

doi:10.1103/physreva.96.053808

Cited by 23 publications

(45 citation statements)

References 41 publications

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“…The m = 3 wave function is the ansatz proposed by Laughlin to describe the FQH effect for electrons at filling ν = 1/3 [6]. The m = 2 bosonic wave function appeared, instead, in the context of rotating ultracold atoms [14,34,35] and was theoretically found to be the absolute ground state in the presence of a uniform synthetic magnetic field and a weak trapping potential [28,36]. In a similar setup with fermionic atoms, the ground state will be the m = 3 Laughlin state.…”

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confidence: 99%

Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics

et al. 2018

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We propose a standard time-of-flight experiment as a method for observing the anyonic statistics of quasiholes in a fractional quantum Hall state of ultracold atoms. The quasihole states can be stably prepared by pinning the quasiholes with localized potentials and a measurement of the mean square radius of the freely expanding cloud, which is related to the average total angular momentum of the initial state, offers direct signatures of the statistical phase. Our proposed method is validated by Monte Carlo calculations for ν=1/2 and 1/3 fractional quantum Hall liquids containing a realistic number of particles. Extensions to quantum Hall liquids of light and to non-Abelian anyons are briefly discussed.

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confidence: 99%

Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics

et al. 2018

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“…In [50,55], an important fidelity with the Hamiltonian ground-state reaching values over 95% could be obtained with a narrowband incoherent pump possessing identical properties with respect to the one discussed in Sec. 3.1.…”

Section: Lattice Geometry With Periodic Boundary Conditionsmentioning

confidence: 88%

“…The former case is characterized by all transition frequencies ω (n) at taking a unique value ω at was considered e.g. in [50,51,52,53,54,55] and is reviewed in the next Sec.3. The latter case, introduced in [54] and reviewed in Sec.…”

Section: An Effective Photonic Non-markovian Descriptionmentioning

confidence: 99%

“…In this section we review the physics of strongly interacting photons under a narrowband frequency-dependent incoherent pump. Such a configuration, which is the one involved in all the first proposals [50,51,52], was further investigated in [53,55]. Within the framework of the non-Markovian reservoir engineering techniques presented in the previous section, a narrowband incoherent emission is straightforwardly obtained by setting all emitters transition frequencies ω (n) at to the unique value ω at (or alternatively by using only N at = 1 emitter per resonator): this leads to the expression D at (ω) = N at δ(ω − ω at ) for the emitters frequency distribution and to a Lorentzian-shaped photonic emission spectrum:…”

Section: Strongly Interacting Photons Under a Narrowband Incoherent Ementioning

confidence: 99%

“…The application of the incoherent pumping scheme with a narrowband emission spectrum to the generation of Fractional quantum Hall states in this system was studied in [55]. The general structure of the many-body energy levels is displayed in the left panel of Fig.4: while the excitation of the bulk of the system is protected by a finite energy gap, the edges of the system support low-lying excitations corresponding, for low additional angular momenta, to density waves propagating around the cloud.…”

Section: Continuum Space Geometry With Hard-wall Confinmentmentioning

confidence: 99%

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Quantum simulation of zero-temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques

Lebreuilly

Carusotto

2018

Comptes Rendus. Physique

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We review recent theoretical developments on the stabilization of strongly correlated quantum fluids of light in drivendissipative photonic devices through novel non-Markovian reservoir engineering techniques. This approach allows to compensate losses and refill selectively the photonic population so to sustain a desired steady-state. It relies in particular on the use of a frequency-dependent incoherent pump which can be implemented, e.g., via embedded twolevel systems maintained at a strong inversion of population. As specific applications of these methods, we discuss the generation of Mott Insulator (MI) and Fractional Quantum Hall (FQH) states of light. As a first step, we present the case of a narrowband emission spectrum and show how this allows for the stabilization of MI and FQH states under the condition that the photonic states are relatively flat in energy. As soon as the photonic bandbwidth becomes comparable to the emission linewidth, important non-equilibrium signatures and entropy generation appear. As a second step, we review a more advanced configuration based on reservoirs with a broadband frequency distribution, and we highlight the potential of this configuration for the quantum simulation of equilibrium quantum phases at zero temperature with tunable chemical potential. As a proof of principle we establish the applicability of our scheme to the Bose-Hubbard model by confirming the presence of a perfect agreement with the ground-state predictions both in the Mott Insulating and superfluid regions, and more generally in all parts of the parameter space. Future prospects towards the quantum simulation of more complex configurations are finally outlined, along with a discussion of our scheme as a concrete realization of quantum annealing.

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