Growing quantum states with topological order

Letscher, Fabian; Grusdt, Fabian; Fleischhauer, Michael

doi:10.1103/physrevb.91.184302

Cited by 8 publications

(10 citation statements)

References 49 publications

(80 reference statements)

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“…As shown in Ref. [23,24], the fidelity for the creation of an N-photon Laughlin state then scales as…”

Section: B Full Protocolmentioning

confidence: 88%

“…In addition we discuss the preparation of Laughlin-type states based on the growing protocol of Refs. [23,24]. To this end, we discuss a single photon pump coupling the cavity field to a high-lying Rydberg state in an EIT configuration.…”

Section: Discussion and Outlookmentioning

confidence: 99%

“…is the coupling between the quasi-hole and Laughlin state [23,24], to insert a single photon. Adiabatic Flux Insertion.-In Sec.…”

Section: B Full Protocolmentioning

confidence: 99%

“…In this paper we discuss the creation of photonic Laughlin (LN)-type ground states in the setup of Ref. [20], using the growing technique suggested in [23,24]. A key feature of the scheme is the controlled insertion of single photon and magnetic flux quanta into the cavity system.…”

Section: Introductionmentioning

confidence: 99%

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Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons

et al. 2018

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Recently, the creation of photonic Landau levels in a twisted cavity has been demonstrated in Nature 534, 671 (2016). Here we propose a scheme to adiabatically transfer flux quanta in multiples of 3h simultaneously to all cavity photons by coupling the photons through flux-threaded cones present in such cavity setup. The flux transfer is achieved using external light fields with orbital angular momentum and a near-resonant dense atomic medium as mediator. Furthermore, coupling the cavity fields to a Rydberg state in a configuration supporting electromagnetically induced transparency, fractional quantum Hall states can be prepared. To this end a growing protocol is used consisting of a sequence of flux insertion and subsequent single-photon insertion steps. We discuss specifically the growing of the ν = 1/2 bosonic Laughlin state, where we first repeat the flux insertion twice creating a double quasi-hole excitation. Then, the hole is refilled using a coherent pump and the Rydberg blockade.PACS numbers:

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“…As shown in Ref. [23,24], the fidelity for the creation of an N-photon Laughlin state then scales as…”

Section: B Full Protocolmentioning

confidence: 88%

Section: Discussion and Outlookmentioning

confidence: 99%

“…is the coupling between the quasi-hole and Laughlin state [23,24], to insert a single photon. Adiabatic Flux Insertion.-In Sec.…”

Section: B Full Protocolmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons

et al. 2018

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“…In continuum we find ρ(r) ≈ , with T 0 being the duration of a single step of the protocol. In a forthcoming publication [48] we study larger systems using a simplified model of non-interacting CFs on a lattice and show that our protocol still works when edge-effects are taken into account.…”

Section: Fig 1 (Color Online) (A)mentioning

confidence: 99%

Topological Growing of Laughlin States in Synthetic Gauge Fields

et al. 2014

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We suggest a scheme for the preparation of highly correlated Laughlin (LN) states in the presence of synthetic gauge fields, realizing an analogue of the fractional quantum Hall effect in photonic or atomic systems of interacting bosons. It is based on the idea of growing such states by adding weakly interacting composite fermions (CF) along with magnetic flux quanta one-by-one. The topologically protected Thouless pump ("Laughlin's argument") is used to create two localized flux quanta and the resulting hole excitation is subsequently filled by a single boson, which, together with one of the flux quanta forms a CF. Using our protocol, filling 1/2 LN states can be grown with particle number N increasing linearly in time and strongly suppressed number fluctuations. To demonstrate the feasibility of our scheme, we consider two-dimensional (2D) lattices subject to effective magnetic fields and strong on-site interactions. We present numerical simulations of small lattice systems and discuss also the influence of losses. Introduction In recent years topological states of matter [1][2][3][4][5][6][7][8] have attracted a great deal of interest, partly due to their astonishing physical properties (like fractional charge and statistics) but also because of their potential practical relevance for quantum computation [9,10]. While these exotic phases of matter were first explored in the context of the quantum Hall effect of electrons subject to strong magnetic fields [11,12], there has been considerable progress recently towards their realization in cold-atom [13][14][15][16] as well as photonic [17][18][19][20][21][22][23] systems. A particularly attractive feature of such quantum Hall simulators are the comparatively large intrinsic length scales which allow coherent preparation, manipulation and spatially resolved detection of exotic many-body phases and their excitations.

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