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  • Letter
  • Open Access

Synthetic gravitational horizons in low-dimensional quantum matter

Corentin Morice1, Ali G. Moghaddam2,3, Dmitry Chernyavsky2, Jasper van Wezel1, and Jeroen van den Brink2,4

  • 1Institute for Theoretical Physics and Delta Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, The Netherlands
  • 2Institute for Theoretical Solid State Physics, IFW Dresden, Helmholtzstrasse 20, 01069 Dresden, Germany
  • 3Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran
  • 4Institute for Theoretical Physics and Würzburg-Dresden Cluster of Excellence ct.qmat, Technische Universitt Dresden, 01069 Dresden, Germany

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Phys. Rev. Research 3, L022022 – Published 9 June, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L022022

Abstract

We propose a class of lattice models realizable in a wide range of setups whose low-energy dynamics exactly reduces to Dirac fields subjected to (1+1)-dimensional [(1+1)D] gravitational backgrounds, including (anti-)de Sitter space-time. Wave packets propagating on the lattice exhibit an eternal slowdown for power-law position-dependent hopping integrals t(x)∝xγ when γ≥1, signaling the formation of black hole event horizons. For γ<1 instead the wave packets behave radically different and bounce off the horizon. We show that the eternal slowdown relates to a zero-energy spectral singularity of the lattice model and that the semiclassical wave packets trajectories coincide with the geodesics on (1+1)D dilaton gravity, paving the way for new and experimentally feasible routes to mimic black hole horizons and realize (1+1)D space-times as they appear in certain gravity theories.

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References (40)

  1. G. E. Volovik, The Universe in a Helium Droplet (Oxford University Press, Oxford, 2003), Vol. 117 .
  2. G. E. Volovik, Black hole and Hawking radiation by type-II Weyl fermions, JETP Lett. 104, 645 (2016).
  3. M. Novello, M. Visser, and G. E. Volovik, Artificial Black Holes (World Scientific, Singapore, 2002).
  4. S. A. Hartnoll, Horizons, holography and condensed matter, in Black Holes in Higher Dimensions, edited by G. T. Horowitz (Cambridge University Press, Cambridge, 2012).
  5. S. Guan, Z.-M. Yu, Y. Liu, G.-B. Liu, L. Dong, Y. Lu, Y. Yao, and S. A. Yang, Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals, npj Quantum Mater. 2, 23 (2017).
  6. Y. Kedem, E. J. Bergholtz, and F. Wilczek, Black and white holes at material junctions, Phys. Rev. Res. 2, 043285 (2020).
  7. S. Sachdev and J. Ye, Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet, Phys. Rev. Lett. 70, 3339 (1993).
  8. A. Kitaev, A simple model of quantum holography, in KITP Strings Seminar and Entanglement (Kavli Institute for Theoretical Physics, Santa Barbara, 2015), Vol. 12, p. 26.
  9. A. Kitaev and S. J. Suh, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual, J. High Energy Phys. 05 (2018) 183.
  10. J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94, 106002 (2016).
  11. J. Maldacena, D. Stanford, and Z. Yang, Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space, Prog. Theo. Exp. Phys. 2016, 12C104 (2016).
  12. C. Barceló, S. Liberati, and M. Visser, Analogue gravity from Bose-Einstein condensates, Class. Quantum Gravity 18, 1137 (2001).
  13. M. Cadoni, Acoustic analogues of two-dimensional black holes, Class. Quantum Gravity 22, 409 (2004).
  14. C. Barceló, S. Liberati, and M. Visser, Analogue gravity, Living Rev. Relativ. 14, 3 (2011).
  15. D. Faccio, F. Belgiorno, S. Cacciatori, V. Gorini, S. Liberati, and U. Moschella, Eds., Analogue Gravity Phenomenology: Analogue Spacetimes and Horizons, from Theory to Experiment, Lecture Notes in Physics, Vol. 870 (Springer, Cham, 2013).
  16. A. Westström and T. Ojanen, Designer Curved-Space Geometry for Relativistic Fermions in Weyl Metamaterials, Phys. Rev. X 7, 041026 (2017).
  17. H. Huang, K.-H. Jin, and F. Liu, Black-hole horizon in the Dirac semimetal Zn2In2S5, Phys. Rev. B 98, 121110(R) (2018).
  18. L. Liang and T. Ojanen, Curved space-time theory of inhomogeneous Weyl materials, Phys. Rev. Res. 1, 032006(R) (2019).
  19. In order to bring this metric into the standard diagonalized form, one should redefine the temporal coordinate τ→τ+12αlog(α2x2−1) .
  20. M. Cadoni and S. Mignemi, Nonsingular four-dimensional black holes and the Jackiw-Teitelboim theory, Phys. Rev. D 51, 4319 (1995).
  21. D. Grumiller, W. Kummer, and D.V. Vassilevich, Dilaton gravity in two dimensions, Phys. Rep. 369, 327 (2002).
  22. D. M. Eigler and E. K. Schweizer, Positioning single atoms with a scanning tunnelling microscope, Nature (London) 344, 524 (1990).
  23. C. F. Hirjibehedin, C. P. Lutz, and A. J. Heinrich, Spin coupling in engineered atomic structures, Science 312, 1021 (2006).
  24. R. Drost, T. Ojanen, A. Harju, and P. Liljeroth, Topological states in engineered atomic lattices, Nat. Phys. 13, 668 (2017).
  25. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Cold Bosonic Atoms in Optical Lattices, Phys. Rev. Lett. 81, 3108 (1998).
  26. L.-M. Duan, E. Demler, and M. D. Lukin, Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices, Phys. Rev. Lett. 91, 090402 (2003).
  27. I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys. 80, 885 (2008).
  28. J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Photonic crystals: Putting a new twist on light, Nature (London) 386, 143 (1997).
  29. T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, and I. Carusotto, Topological photonics, Rev. Mod. Phys. 91, 015006 (2019).
  30. E. Lieb, T. Schultz, and D. Mattis, Two soluble models of an antiferromagnetic chain, Ann. Phys. (NY) 16, 407 (1961).
  31. W.G. Unruh, Experimental Black Hole Evaporation, Phys. Rev. Lett. 46, 1351 (1981).
  32. S. Weinfurtner, E. W. Tedford, M. C. J. Penrice, W. G. Unruh, and G. A. Lawrence, Measurement of Stimulated Hawking Emission in an Analogue System, Phys. Rev. Lett. 106, 021302 (2011).
  33. T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, Fiber-optical analog of the event horizon, Science 319, 1367 (2008).
  34. J. Steinhauer, Observation of quantum Hawking radiation and its entanglement in an analogue black hole, Nat. Phys. 12, 959 (2016).
  35. I. Carusotto, S. Fagnocchi, A. Recati, R. Balbinot, and A. Fabbri, Numerical observation of Hawking radiation from acoustic black holes in atomic Bose–Einstein condensates, New J. Phys. 10, 103001 (2008).
  36. H. S. Nguyen, D. Gerace, I. Carusotto, D. Sanvitto, E. Galopin, A. Lemaître, I. Sagnes, J. Bloch, and A. Amo, Acoustic Black Hole in a Stationary Hydrodynamic Flow of Microcavity Polaritons, Phys. Rev. Lett. 114, 036402 (2015).
  37. A. Roldán-Molina, A. S. Nunez, and R. A. Duine, Magnonic Black Holes, Phys. Rev. Lett. 118, 061301 (2017).
  38. A. J. Kollár, M. Fitzpatrick, and A. A. Houck, Hyperbolic lattices in circuit quantum electrodynamics, Nature (London) 571, 45 (2019).
  39. I. Boettcher, P. Bienias, R. Belyansky, A. J. Kollár, and A. V. Gorshkov, Quantum simulation of hyperbolic space with circuit quantum electrodynamics: From graphs to geometry, Phys. Rev. A 102, 032208 (2020).
  40. B. Lapierre, K. Choo, C. Tauber, A. Tiwari, T. Neupert, and R. Chitra, Emergent black hole dynamics in critical Floquet systems, Phys. Rev. Res. 2, 023085 (2020).

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Phys. Rev. Research 3, L022022– Published 9 June, 2021
  • Received 17 December 2020
  • Accepted 19 April 2021
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