InterPol: Polariton lattices: a solid-state platform for quantum simulations of correlated and topological states

Lead Research Organisation: University of Sheffield
Department Name: Physics and Astronomy

Abstract

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Description 1.One of the most exciting developments to emerge in the field of photonics in recent years is the engineering of artificial gauge fields, which provide rich insight into fundamental phenomena spanning across many areas of physics, whilst also offering novel paradigms to manipulate the behaviour of light for future applications in integrated photonic circuits. There is substantial growing interest in the realisation of non-Abelian gauge fields acting on photons, enabling control of light via spin degree of freedom. Non-Abelian gauge fields are originally associated with the physics of strong and weak interactions in nuclei. In condensed matter physics, non-Abelian gauge fields apply to the theory of Rashba and Dresselhaus spin-orbit interaction (SOI), leading to spin Hall effects (normal and quantum) and enabling spintronic devices. They are therefore of substantial fundamental and technological significance, and the ability to transpose such phenomena to the optical domain offers great potential functionalities.
Whilst the experimental observation of SOI and spin Hall effect in material graphene has so far been obscured the favourable features of semiconductor microcavities enable us to demonstrate an optical analogue of Dresselhaus SOI and the resultant non-Abelian gauge field in photonic graphene (a honeycomb lattice of micropillars). We show that at the Dirac points the polarization splitting of photonic modes is analogous to Dresselhaus SOI, since it has the same azimuthal dependence on wave vector and can be represented in terms of minimal coupling to a spin-dependent gauge potential, which is non-Abelian. The emergent Dresselhaus symmetry leads to generation of striking two spin domains in real space as revealed in our optical spin Hall experiments. Furthermore, we observe a reversal of the sign of SOI at the same Dirac cone valley when switching from s- to p-type band states. The observed phenomena are in excellent agreement with the tight-band modelling.

Our work opens up a new method to realize synthetic non-Abelian gauge fields for photons, which is all-optical and occurs on the microscale in a monolithic semiconductor structure paving the way towards control of photon paths via spin on a chip. Our work is relevant to experimentalists and theorists working not just in the photonics community, but also across many disciplines including the vast fields of graphene and 2D materials and potentially even further afield due to the ubiquitous nature and broad conceptual appeal of gauge theory.

2. Photons can be effectively used in quantum information transfer and computation Quantum photonics additionally requires
photons to interact with each other. Cross-phase-modulation (XPM), where photons modify each
other's phase, underpins many applications in quantum optics. Achieving the full potential of this
approach requires a Kerr-like nonlinear medium which can produce moderate phase shifts at single
photon average intensities in a scalable solid state setting. Exciton-polaritons in quantum well micropillars combine the strong interactions of excitons with the scalability of micrometer-sized emitters. Here we use polariton micropillars to demonstrate all-optical manipulation of photon
phase. We observe phase shifts up to 3 mrad per particle. We lay down
a route for quantum information processing in polaritonic lattices.

3. Finally, we investigate the effect of photonic spin-orbit coupling (SOC) in micropillar lattices on the topological
edge states of a one-dimensional chain with a zigzag geometry, corresponding to the Su-SchriefferHeeger model equipped with an additional internal degree of freedom. The system combines the strong hopping anisotropy of the p-type pillar modes with the large TE-TM splitting in Bragg
microcavities. By resolving the photoluminescence emission in energy and polarization we probe
the effects of the resulting SOC on the spatial and spectral properties of the edge modes. We find
that the edge modes feature a fine structure of states that penetrate by different amounts into the
bulk of the chain, depending on the strength of the SOC terms present, thereby opening a route to
manipulation of the topological states in the system.
Exploitation Route Development of photonic quantum optical signal processing devices and quantum simulators through closer interactions with the emerging companies in quantum technology sector.
Sectors Digital/Communication/Information Technologies (including Software),Electronics,Manufacturing, including Industrial Biotechology

 
Title Development of tunable open cavity setup where light can be confined to a scale of 1 micrometer. 
Description The open cavity setups consist of two mirrors controlled by nanopiezopositioners. These mirrors enable enable very strong polariton confinement in all three dimensions leading to realisation of single polariton nonlinearity 
Type Of Material Technology assay or reagent 
Year Produced 2021 
Provided To Others? No  
Impact This research tool has had only academic impact for now, enabling observation of single polariton nonlinearity (publication in Nature Photonics 2022). Potentially, it paves the way towards development of nonlinear quantum optical devices. 
 
Title pump-probe experiments on observation of parametrically stimulated polariton blockade 
Description We synchronised to pulsed lasers at different frequencies in order to observe stimulated scattering of pump polaritons to the lower and higher energy states in a micropillar. Employed pulsed lasers with different frequencies in order to observe cross-phase-modulation between single photons. 
Type Of Material Technology assay or reagent 
Year Produced 2019 
Provided To Others? No  
Impact No impact yet 
 
Title Dataset for Few-photon all-optical phase rotation in a quantum-well micropillar cavity 
Description Dataset for Few-photon all-optical phase rotation in a quantum-well micropillar cavity 
Type Of Material Database/Collection of data 
Year Produced 2022 
Provided To Others? Yes  
URL https://figshare.shef.ac.uk/articles/dataset/Dataset_for_Few-photon_all-optical_phase_rotation_in_a_...
 
Title Dataset for Few-photon all-optical phase rotation in a quantum-well micropillar cavity 
Description Dataset for Few-photon all-optical phase rotation in a quantum-well micropillar cavity 
Type Of Material Database/Collection of data 
Year Produced 2022 
Provided To Others? Yes  
URL https://figshare.shef.ac.uk/articles/dataset/Dataset_for_Few-photon_all-optical_phase_rotation_in_a_...
 
Description Collaboration with the theory group of Prof. Oleksandr Kyriienko from the University of Exeter, UK 
Organisation University of Exeter
Country United Kingdom 
Sector Academic/University 
PI Contribution My group performed experiments on the observation of single photon phase shift in semiconductor polariton microcavities, when the linear polarisation of one polariton is observed to rotate due to present of another circularly polarised polariton arising from giant spin-dependent polariton-polariton interactions. The induced phase up to 3 mrad per particle is observed, which can be increased further by a factor of 10-100 in state of the art microcavities with smaller photonic confinement and higher Q-factor.
Collaborator Contribution The group of professor Kyriienko provided theoretical support for interpretation of the results on single photon phase shifts in polariton semiconductor micropillars with embedded 2D InGaAs quantum wells. In particular, they showed that using the state of the art polariton micropillars and cascading them into a chain connected by one-way propagating mode it should be possible to construct C-Phase quantum gate with a fidelity near 99%, which paves the way towards development of active and scalable photonic devices.
Impact 1. Few-photon all-optical phase rotation in a quantum-well micropillar cavity Tintu Kuriakose, Paul M. Walker, Toby Dowling, Oleksandr Kyriienko, Ivan A. Shelykh, Phillipe St-Jean, Nicola Carlon Zambon, Aristide Lemaître, Isabelle Sagnes, Luc Legratiet, Abdelmounaim Harouri, Sylvain Ravets, Maurice S. Skolnick, Alberto Amo, Jacqueline Bloch & Dmitry N. Krizhanovskii Nature Photonics volume 16, pages566-569 (2022) 2. Nonlinear Quantum Optics with Trion Polaritons in 2D Monolayers: Conventional and Unconventional Photon Blockade O. Kyriienko, D. N. Krizhanovskii, and I. A. Shelykh Phys. Rev. Lett. 125, 197402 - Published 5 November 2020 3. Highly nonlinear trion-polaritons in a monolayer semiconductor RPA Emmanuele, M Sich, O Kyriienko, V Shahnazaryan, F Withers, ...Nature communications 11 (1), 3589 (2020)
Start Year 2018
 
Description Collaboration with the theory group of Professor Ivan Shelykh at Rekjavik University, Iceland and ITMO University, St-Petersbsurg 
Organisation ITMO University
Country Russian Federation 
Sector Academic/University 
PI Contribution The experimental studies of photons and polaritons in photonic microcavities, waveguides and lattices. The experimental investigation of strongly interacting hybrid light-matter states for quantum information processing.
Collaborator Contribution Numerical modelling of the experiment. Data analysis and interpretation. Advice on the design of the experiments. Theory of collective photon states in highly nonlinear materials/photonic devices.
Impact Study of polaritons and photons in photonic microcavities, waveguides and lattices of various geometries and materials. Observation of giant trion-polariton nonlinearity in 2D materials. Observation of artificial gauge field acting on photons. Study of nonlinear phase modulation at room temperature Study of spin-orbit coupling. Observation of single photon phase nonlinearity. Construction of CPHASE gate with nonlinear polaritons. Joint publications in various journals. The collaboration is multidisciplinary since it involves the areas of research such as nonlinear and quantum optics, semiconductor physics and technology and physics of many-body phases.
Start Year 2018
 
Description Collaboration with the theory group of Professor Ivan Shelykh at Rekjavik University, Iceland and ITMO University, St-Petersbsurg 
Organisation Reykjavík University
Country Iceland 
Sector Academic/University 
PI Contribution The experimental studies of photons and polaritons in photonic microcavities, waveguides and lattices. The experimental investigation of strongly interacting hybrid light-matter states for quantum information processing.
Collaborator Contribution Numerical modelling of the experiment. Data analysis and interpretation. Advice on the design of the experiments. Theory of collective photon states in highly nonlinear materials/photonic devices.
Impact Study of polaritons and photons in photonic microcavities, waveguides and lattices of various geometries and materials. Observation of giant trion-polariton nonlinearity in 2D materials. Observation of artificial gauge field acting on photons. Study of nonlinear phase modulation at room temperature Study of spin-orbit coupling. Observation of single photon phase nonlinearity. Construction of CPHASE gate with nonlinear polaritons. Joint publications in various journals. The collaboration is multidisciplinary since it involves the areas of research such as nonlinear and quantum optics, semiconductor physics and technology and physics of many-body phases.
Start Year 2018
 
Description Quantera collaboration 
Organisation National Center for Scientific Research (Centre National de la Recherche Scientifique CNRS)
Department Laboratory for Photonics and Nanostructures
Country France 
Sector Public 
PI Contribution Measurements on SSH lattices and the ongoing experiments on the demonstration of single polariton nonlinearity.
Collaborator Contribution The group of J Bloch at CNRS, C2N, Paris provided us with high quality micropillar samples grown by MBE and processed using EBL and ICP etching.
Impact The observation of single photon phase shift in single micropillars. The construction of CPHASE gate. The Study of stimulated anti-bunching is still in progress
Start Year 2018
 
Description A talk at a conference 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Study participants or study members
Results and Impact Presentation of scientific work at research conferences. The conferences were mainly attended by the specialists and industry working in the relevant area of research

International Conference on Spontaneous Coherence of Excitons ICSCE2021, Melbourne, 27-31 Jan 2021
METANANO conference 15-21 July 2019, St - Petersburg
The conference Waves Cote d'Azur, 4-7 June 2019, Nice.
ISNP 2019, April 2019, Varadero, Cuba
Year(s) Of Engagement Activity 2019,2020,2021
 
Description Attendance of international conferences 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Study participants or study members
Results and Impact Attendance of international conferences and workshop to disseminate the research results associated with this grant via INVITED talks.
The following conferences were attended

1. Light-matter interaction in two-dimensional nonlinear materials. April 2022, Nordita, Stockholm, Sweden.
2. Photon 2022, August 2022, Nottingham, UK
2. Terametanano 2022, Dec 2022, Natal, Brazil
Year(s) Of Engagement Activity 2022