Realizing Optical Persistent Spin Helix and Stern-Gerlach Deflection in an Anisotropic Liquid Crystal Microcavity
Open accessAbstract
Spin-orbit interactions which couple the spin of a particle with its momentum degrees of freedom lie at the center of spintronic applications. Of special interest in semiconductor physics are Rashba and Dresselhaus spin-orbit coupling. When equal in strength, the Rashba and Dresselhaus fields result in SU(2) spin rotation symmetry and emergence of the persistent spin helix only investigated for charge carriers in semiconductor quantum wells. Recently, a synthetic Rashba-Dresselhaus Hamiltonian was shown to describe cavity photons confined in a microcavity filled with optically anisotropic liquid crystal. In this Letter, we present a purely optical realization of two types of spin patterns corresponding to the persistent spin helix and the Stern-Gerlach experiment in such a cavity. We show how the symmetry of the Hamiltonian results in spatial oscillations of the spin orientation of photons traveling in the plane of the cavity.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The successful introduction of liquid crystal molecules into microcavities sustains synthetic spin-orbit coupling with broad tunability and realization of the RD Hamiltonian.
“More recently, the successful introduction of liquid crystal (LC) molecules into microcavities has been shown to sustain synthetic spinorbit coupling with broad tunability and realization of the RD Hamiltonian [23-26].”
From Trembling Motion of Exciton Polaritons Close to the Rashba-Dresselhaus Regime (2024) · cites this paper as [26]
The paper describes a liquid-crystal-filled microcavity whose voltage-controlled anisotropy allows modes to be brought into resonance; it reports Rashba–Dresselhaus spin-orbit coupling and gives an effective Hamiltonian (passages [3] and [5], section labeled Abstract; page unavailable). It supports tunability, but does not establish the claimed broad range of tunability. (LLM, conf=0.83)
Experimental — accuracy not yet measuredTuning is directly achieved by applying an electrical field to rotate LC molecules, allowing precise perturbation of the RD Hamiltonian and providing a novel on-chip platform with dynamical tunability for complete emulation of ZB and further relativistic quantum effects at room temperature.
“Tuning is directly achieved by applying an electrical field to rotate the LC molecules, which allows to precisely perturb the RD Hamiltonian and provides a novel on-chip platform with dynamical tunability for the complete emulation of the ZB effect and further relativistic quantum effects at room temperature.”
From Trembling Motion of Exciton Polaritons Close to the Rashba-Dresselhaus Regime (2024) · cites this paper as [26]
Split into 2 atoms — 0 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 0 unverifiable, 1 not checked. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
Spin–orbit interactions of light
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F., & Zayats, A. V. (2015) · Nature Photonics · doi:10.1038/nphoton.2015.201 · Cited by 2,276 · cited 1× · see citing works
“In the context of SOC of light [10], a rapidly growing field of research, there has been so far no implementation of a photonic PSH to protect the polarization state of light.”
BackgroundOptical Spin Hall Effects in Plasmonic Chains
Shitrit, N., Bretner, I., Gorodetski, Y., Kleiner, V., & Hasman, E. (2011) · Nano Letters · doi:10.1021/nl2004835 · Cited by 314 · see citing works
Spin-orbit interactions of light
Bliokh, K. Y., Rodriguez-Fortuno, F. J., Nori, F., & Zayats, A. V. (2015) · arXiv · cited 1×
“In the context of SOC of light [10], a rapidly growing field of research, there has been so far no implementation of a photonic PSH to protect the polarization state of light.”
Background
Flagged first, then by citations
Research works printed but not linked: 36
- B. A. Bernevig, J. Orenstein, and S.-C. Zhang, Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System, Phys. Rev. Lett. 97, 236601 (2006). · DOI · Paper page
- J. D. Koralek, C. P. Weber, J. Orenstein, B. A. Bernevig, S.-C. Zhang, S. Mack, and D. D. Awschalom, Emergence of the persistent spin helix in semiconductor quantum wells, Nature (London) 458, 610 (2009). · DOI
- M. P. Walser, C. Reichl, W. Wegscheider, and G. Salis, Direct mapping of the formation of a persistent spin helix, Nat. Phys. 8, 757 (2012). · DOI
- M. Kohda, V. Lechner, Y. Kunihashi, T. Dollinger, P. Olbrich, C. Schönhuber, I. Caspers, V. V. Bel'kov, L. E. Golub, D. Weiss, K. Richter, J. Nitta, and S. D. Ganichev, Gate-controlled persistent spin helix state in (In,Ga)As quantum wells, Phys. Rev. B 86, 081306(R) (2012). · DOI
- J. Ishihara, Y. Ohno, and H. Ohno, Direct imaging of gate- controlled persistent spin helix state in a modulation-doped GaAs/AlGaAs quantum well, Appl. Phys. Express 7, 013001 (2014). · DOI
- A. Sasaki, S. Nonaka, Y. Kunihashi, M. Kohda, T. Bauernfeind, T. Dollinger, K. Richter, and J. Nitta, Direct determination of spin-orbit interaction coefficients and realization of the persistent spin helix symmetry, Nat. Nanotechnol. 9, 703 (2014). · DOI
- M. Kohda and G. Salis, Physics and application of persistent spin helix state in semiconductor heterostructures, Semi- cond. Sci. Technol. 32, 073002 (2017). · DOI
- J. Schliemann, Colloquium: Persistent spin textures in semiconductor nanostructures, Rev. Mod. Phys. 89, 011001 (2017). · DOI
- F. Passmann, S. Anghel, T. Tischler, A. V. Poshakinskiy, S. A. Tarasenko, G. Karczewski, T. Wojtowicz, A. D. Bristow, and M. Betz, Persistent spin helix manipulation by optical doping of a CdTe quantum well, Phys. Rev. B 97, 201413(R) (2018). · DOI
- C. Leyder, M. Romanelli, J. P. Karr, E. Giacobino, T. C. H. Liew, M. M. Glazov, A. V. Kavokin, G. Malpuech, and A. Bramati, Observation of the optical spin Hall effect, Nat. Phys. 3, 628 (2007). · DOI
- M. Król, H. Sigurdsson, K. Rechcińska, P. Oliwa, K. Tyszka, W. Bardyszewski, A. Opala, M. Matuszewski, P. Morawiak, R. Mazur, W. Piecek, P. Kula, P. G. Lagoudakis, B. Piętka, and J. Szczytko, Observation of second-order meron polarization textures in optical microcavities, Optica 8, 255 (2021). · DOI
- N. Shitrit, I. Yulevich, E. Maguid, D. Ozeri, D. Veksler, V. Kleiner, and E. Hasman, Spin-optical metamaterial route to spin-controlled photonics, Science 340, 724 (2013). · DOI · Paper page
- S.-H. Gong, F. Alpeggiani, B. Sciacca, E. C. Garnett, and L. Kuipers, Nanoscale chiral valley-photon interface through optical spin-orbit coupling, Science 359, 443 (2018). · DOI
- N. Lundt, Ł. Dusanowski, E. Sedov, P. Stepanov, M. M. Glazov, S. Klembt, M. Klaas, J. Beierlein, Y. Qin, S. Tongay, M. Richard, A. V. Kavokin, S. Höfling, and C. Schneider, Optical valley Hall effect for highly valley- coherent exciton-polaritons in an atomically thin semi- conductor, Nat. Nanotechnol. 14, 770 (2019). · DOI
- C. E. Whittaker, T. Dowling, A. V. Nalitov, A. V. Yulin, B. Royall, E. Clarke, M. S. Skolnick, I. A. Shelykh, and D. N. Krizhanovskii, Optical analogue of Dresselhaus spin-orbit interaction in photonic graphene, Nat. Photonics 15, 193 (2021). · DOI · Paper page
- K. Rechcińska, M. Król, R. Mazur, P. Morawiak, R. Mirek, K. Łempicka, W. Bardyszewski, M. Matuszewski, P. Kula, W. Piecek, P. G. Lagoudakis, B. Piętka, and J. Szczytko, Engineering spin-orbit synthetic Hamiltonians in liquid- crystal optical cavities, Science 366, 727 (2019). · DOI · Paper page
- Y.-J. Chen, J. D. Cain, T. K. Stanev, V. P. Dravid, and N. P. Stern, Valley-polarized exciton-polaritons in a monolayer semiconductor, Nat. Photonics 11, 431 (2017). · DOI
- Z. Sun, J. Gu, A. Ghazaryan, Z. Shotan, C. R. Considine, M. Dollar, B. Chakraborty, X. Liu, P. Ghaemi, S. Kéna-Cohen, and V. M. Menon, Optical control of room-temperature valley polaritons, Nat. Photonics 11, 491 (2017). · DOI
- S. Dufferwiel, T. P. Lyons, D. D. Solnyshkov, A. A. P. Trichet, F. Withers, S. Schwarz, G. Malpuech, J. M. Smith, K. S. Novoselov, M. S. Skolnick, D. N. Krizhanovskii, and A. I. Tartakovskii, Valley-addressable polaritons in atomi- cally thin semiconductors, Nat. Photonics 11, 497 (2017). · DOI
- R. Dąbrowski, P. Kula, and J. Herman, High birefringence liquid crystals, Crystals 3, 443 (2013). · DOI
- E. Miszczyk, R. Mazur, P. Morawiak, M. Mrukiewicz, W. Piecek, Z. Raszewski, P. Kula, K. Kowiorski, J. Kędzierski, and J. Zieliński, Refractive index matched liquid crystal cell for laser metrology application, Liq. Cryst. 45, 1690 (2018). · DOI
- K. Lekenta, M. Król, R. Mirek, K. Lempicka, D. Stephan, R. Mazur, P. Morawiak, P. Kula, W. Piecek, P. G. Lagoudakis, B. Pietka, and J. Szczytko, Tunable optical spin Hall effect in a liquid crystal microcavity, Light Sci. Appl. 7, 74 (2018). · DOI
- J. Ren, Q. Liao, F. Li, Y. Li, O. Bleu, G. Malpuech, J. Yao, H. Fu, and D. Solnyshkov, Nontrivial band geometry in an optically active system, Nat. Commun. 12, 689 (2021). · DOI
- D. W. Berreman, Optics in stratified and anisotropic media: 4 × 4-matrix formulation, J. Opt. Soc. Am. 62, 502 (1972). · DOI
- M. Schubert, Polarization-dependent optical parameters of arbitrarily anisotropic homogeneous layered systems, Phys. Rev. B 53, 4265 (1996). · DOI
- See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.127.190401 for details.
- E. Karimi and R. W. Boyd, Classical entanglement?, Sci- ence 350, 1172 (2015). · DOI
- A. Forbes, A. Aiello, and B. Ndagano, Classically entangled light, in Progress in Optics, edited by T. D. Visser (Elsevier, Amsterdam, 2019), Vol. 64, pp. 99-153.
- K. H. Kagalwala, G. Di Giuseppe, A. F. Abouraddy, and B. E. A. Saleh, Bell's measure in classical optical coherence, Nat. Photonics 7, 72 (2013). · DOI
- F. Töppel, A. Aiello, C. Marquardt, E. Giacobino, and G. Leuchs, Classical entanglement in polarization metrol- ogy, New J. Phys. 16, 073019 (2014). · DOI
- N. Korolkova and G. Leuchs, Quantum correlations in separable multi-mode states and in classically entangled light, Rep. Prog. Phys. 82, 056001 (2019). · DOI
- J. H. Eberly, X.-F. Qian, A. A. Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, Quantum and classical optics-emerging links, Phys. Scr. 91, 063003 (2016). · DOI
- L. Karpa and M. Weitz, A Stern-Gerlach experiment for slow light, Nat. Phys. 2, 332 (2006). · DOI
- T. Cao, G. Wang, W. Han, H. Ye, C. Zhu, J. Shi, Q. Niu, P. Tan, E. Wang, B. Liu, and J. Feng, Valley-selective circular dichroism of monolayer molybdenum disulphide, Nat. Commun. 3, 887 (2012). · DOI
- O. Hosten and P. Kwiat, Observation of the spin Hall effect of light via weak measurements, Science 319, 787 (2008). · DOI · Paper page
- O. Arteaga, E. Garcia-Caurel, and R. Ossikovski, Stern- Gerlach experiment with light: Separating photons by spin with the method of A. Fresnel, Opt. Express 27, 4758 (2019). · DOI
Cited by
Sorted by citations
Trembling Motion of Exciton Polaritons Close to the Rashba-Dresselhaus Regime
Wen, W., Liang, J., Xu, H., Jin, F., Rubo, Y. G., Liew, T. C. H., & Su, R. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.116903 · Cited by 17 · see citing works
- Authors
- Król, M., Rechcińska, K., Sigurdsson, H., Oliwa, P., Mazur, R., Morawiak, P., Piecek, W., Kula, P., Lagoudakis, P. G., Matuszewski, M., Bardyszewski, W., Piętka, B., & Szczytko, J.
- Affiliations
- University of Warsaw (PL)
- Skolkovo Institute of Science and Technology (RU)
- Military University of Technology in Warsaw (PL)
- Institute of Physics (PL)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2021-11-01
- Volume
- 127
- Issue
- 19
- Pages
- 190401-190401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W3210764239
- Cited by
- 30
- References
- 4
- Citations by year
- 2026: 2 · 2025: 7 · 2024: 10 · 2023: 4 · 2022: 7
- FWCI
- 2.29
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physical Review Letters (publishedVersion, cc-by)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- ePrints Soton (University of Southampton) (submittedVersion)
- Figshare (submittedVersion, public-domain)
- arXiv (Cornell University) (cc-by)
- Funders
- Narodowe Centrum Nauki (2019/35/B/ST3/04147, 2019/33/B/ST5/02658, 2018/31/N/ST3/03046, 2017/27/B/ST3/00271)
- Engineering and Physical Sciences Research Council (EP/M025330/1)
- Russian Foundation for Basic Research (20-52-12026, 20-02-00919)
- Deutsche Forschungsgemeinschaft
- Horizon 2020 Framework Programme (964770)
- H2020 Future and Emerging Technologies (899141)
- Icelandic Research Fund (217631-051)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Keywords
- persistent spin helix, spin-orbit coupling, anisotropic liquid crystals, optical microcavities
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
