Photonic quantum simulations of SSH-type topological insulators with perfect state transfer

M. Stobińska, T. Sturges, A. Buraczewski, W. R. Clements, J. J. Renema, S. W. Nam, T. Gerrits, A. Lita, P. P. Rohde, W. S. Kolthammer, A. Eckstein, I. A. Walmsley

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Abstract

Topological insulators could profoundly impact the fields of spintronics, quantum computing and low-power electronics. To enable investigations of these non-trivial phases of matter beyond the reach of present-day experiments, quantum simulations provide tools to exactly engineer the model system and measure the dynamics with single site resolution. Nonetheless, novel methods for investigating topological materials are needed, as typical approaches that assume translational invariance are irrelevant to quasi-crystals and more general non-crystalline structures. Here we show the quantum simulation of a non-crystalline topological insulator using multi-photon interference. The system belongs to the same chiral orthogonal symmetry class as the SSH model, and is characterised by algebraically decaying edge states. In addition, our simulations reveal that the Hamiltonian describing the system facilitates perfect quantum state transfer of any arbitrary edge state. We provide a proof-of-concept experiment based on a generalised Hong-Ou-Mandel effect, where photon-number states impinge on a variable coupler.
Original languageEnglish
JournalArxiv.org
Publication statusPublished - 3 Jun 2019

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insulators
photonics
simulation
photons
quantum computation
couplers
engineers
invariance
interference
symmetry
electronics
crystals

Keywords

  • quant-ph
  • cond-mat.other

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Stobińska, M., Sturges, T., Buraczewski, A., Clements, W. R., Renema, J. J., Nam, S. W., ... Walmsley, I. A. (2019). Photonic quantum simulations of SSH-type topological insulators with perfect state transfer. Arxiv.org.
Stobińska, M. ; Sturges, T. ; Buraczewski, A. ; Clements, W. R. ; Renema, J. J. ; Nam, S. W. ; Gerrits, T. ; Lita, A. ; Rohde, P. P. ; Kolthammer, W. S. ; Eckstein, A. ; Walmsley, I. A. / Photonic quantum simulations of SSH-type topological insulators with perfect state transfer. In: Arxiv.org. 2019.
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title = "Photonic quantum simulations of SSH-type topological insulators with perfect state transfer",
abstract = "Topological insulators could profoundly impact the fields of spintronics, quantum computing and low-power electronics. To enable investigations of these non-trivial phases of matter beyond the reach of present-day experiments, quantum simulations provide tools to exactly engineer the model system and measure the dynamics with single site resolution. Nonetheless, novel methods for investigating topological materials are needed, as typical approaches that assume translational invariance are irrelevant to quasi-crystals and more general non-crystalline structures. Here we show the quantum simulation of a non-crystalline topological insulator using multi-photon interference. The system belongs to the same chiral orthogonal symmetry class as the SSH model, and is characterised by algebraically decaying edge states. In addition, our simulations reveal that the Hamiltonian describing the system facilitates perfect quantum state transfer of any arbitrary edge state. We provide a proof-of-concept experiment based on a generalised Hong-Ou-Mandel effect, where photon-number states impinge on a variable coupler.",
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author = "M. Stobińska and T. Sturges and A. Buraczewski and Clements, {W. R.} and Renema, {J. J.} and Nam, {S. W.} and T. Gerrits and A. Lita and Rohde, {P. P.} and Kolthammer, {W. S.} and A. Eckstein and Walmsley, {I. A.}",
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Stobińska, M, Sturges, T, Buraczewski, A, Clements, WR, Renema, JJ, Nam, SW, Gerrits, T, Lita, A, Rohde, PP, Kolthammer, WS, Eckstein, A & Walmsley, IA 2019, 'Photonic quantum simulations of SSH-type topological insulators with perfect state transfer' Arxiv.org.

Photonic quantum simulations of SSH-type topological insulators with perfect state transfer. / Stobińska, M.; Sturges, T.; Buraczewski, A.; Clements, W. R.; Renema, J. J.; Nam, S. W.; Gerrits, T.; Lita, A.; Rohde, P. P.; Kolthammer, W. S.; Eckstein, A.; Walmsley, I. A.

In: Arxiv.org, 03.06.2019.

Research output: Contribution to journalArticleProfessional

TY - JOUR

T1 - Photonic quantum simulations of SSH-type topological insulators with perfect state transfer

AU - Stobińska, M.

AU - Sturges, T.

AU - Buraczewski, A.

AU - Clements, W. R.

AU - Renema, J. J.

AU - Nam, S. W.

AU - Gerrits, T.

AU - Lita, A.

AU - Rohde, P. P.

AU - Kolthammer, W. S.

AU - Eckstein, A.

AU - Walmsley, I. A.

N1 - 13 pages, 8 figures, Supplementary Information

PY - 2019/6/3

Y1 - 2019/6/3

N2 - Topological insulators could profoundly impact the fields of spintronics, quantum computing and low-power electronics. To enable investigations of these non-trivial phases of matter beyond the reach of present-day experiments, quantum simulations provide tools to exactly engineer the model system and measure the dynamics with single site resolution. Nonetheless, novel methods for investigating topological materials are needed, as typical approaches that assume translational invariance are irrelevant to quasi-crystals and more general non-crystalline structures. Here we show the quantum simulation of a non-crystalline topological insulator using multi-photon interference. The system belongs to the same chiral orthogonal symmetry class as the SSH model, and is characterised by algebraically decaying edge states. In addition, our simulations reveal that the Hamiltonian describing the system facilitates perfect quantum state transfer of any arbitrary edge state. We provide a proof-of-concept experiment based on a generalised Hong-Ou-Mandel effect, where photon-number states impinge on a variable coupler.

AB - Topological insulators could profoundly impact the fields of spintronics, quantum computing and low-power electronics. To enable investigations of these non-trivial phases of matter beyond the reach of present-day experiments, quantum simulations provide tools to exactly engineer the model system and measure the dynamics with single site resolution. Nonetheless, novel methods for investigating topological materials are needed, as typical approaches that assume translational invariance are irrelevant to quasi-crystals and more general non-crystalline structures. Here we show the quantum simulation of a non-crystalline topological insulator using multi-photon interference. The system belongs to the same chiral orthogonal symmetry class as the SSH model, and is characterised by algebraically decaying edge states. In addition, our simulations reveal that the Hamiltonian describing the system facilitates perfect quantum state transfer of any arbitrary edge state. We provide a proof-of-concept experiment based on a generalised Hong-Ou-Mandel effect, where photon-number states impinge on a variable coupler.

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Stobińska M, Sturges T, Buraczewski A, Clements WR, Renema JJ, Nam SW et al. Photonic quantum simulations of SSH-type topological insulators with perfect state transfer. Arxiv.org. 2019 Jun 3.