- Letter
- Open Access
Disconnecting a traversable wormhole: Universal quench dynamics in random spin models
Phys. Rev. Research 3, L022024 – Published 21 June, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L022024
Abstract
Understanding strongly interacting quantum matter and quantum gravity are both important open issues in theoretical physics, and the holographic duality between quantum field theory and gravity theory nicely brings these two topics together. Nevertheless, direct connections between gravity physics and experimental observations in quantum matter are still rare. Here we utilize the gravity physics picture to understand quench dynamics experimentally observed in a class of random spin models realized in several different quantum systems, where the dynamics of magnetization are measured after the external polarization field is suddenly turned off. Two universal features of the magnetization dynamics, namely, a slow decay described by a stretched exponential function and an oscillatory behavior, are respectively found in different parameter regimes across different systems. This paper addresses the issues of generic conditions under which these two universal features can occur, and we find that a natural answer to this question emerges in the gravity picture. By the holographic duality bridged by a model proposed by Maldacena and Qi, the quench dynamics after suddenly turning off the external polarization field is mapped to disconnecting an eternal traversable wormhole. Our studies show that insight from gravity physics can help unifying different experiments in quantum systems.
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References (38)
- D. T. Son and A. O. Starinets, Viscosity, black holes, and quantum field theory, Annu. Rev. Nucl. Part. Sci. 57, 95 (2007).
- J. Zaanen, Y. Liu, Y.-W. Sun, and K. Schalm, Holographic Duality in Condensed Matter Physics (Cambridge University Press, Cambridge, 2015).
- S. A. Hartnoll, A. Lucas, and S. Sachdev, Holographic Quantum Matter (MIT Press, Cambridge, 2018).
- P. Gao, D. L. Jafferis, and A. C. Wall, Traversable wormholes via a double trace deformation, J. High Energy Phys. 12 (2017) 151.
- J. Maldacena, D. Stanford, and Z. Yang, Diving into traversable wormholes, Fortschr. der Phys. 65, 1700034 (2017).
- J. Maldacena and X.-L. Qi, Eternal traversable wormhole, arXiv:1804.00491.
- S. Sachdev and J. Ye, Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet, Phys. Rev. Lett. 70, 3339 (1993).
- A. Kitaev, Talk Given at the KITP Program: Entanglement in Strongly-Correlated Quantum Matter, KITP Program (2015).
- J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94, 106002 (2016).
- 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.
- P. K. Kovtun, D. T. Son, and A. O. Starinets, Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics, Phys. Rev. Lett. 94, 111601 (2005).
- C. Cao, E. Elliott, J. Joseph, H. Wu, J. Petricka, T. Schäfer, and J. E. Thomas, Universal quantum viscosity in a unitary Fermi gas, Science 331, 58 (2011).
- T. Hartman, S. A. Hartnoll, and R. Mahajan, Upper Bound on Diffusivity, Phys. Rev. Lett. 119, 141601 (2017).
- S. A. Hartnoll, Theory of universal incoherent metallic transport, Nat. Phys. 11, 54 (2015).
- M. Blake, Universal Charge Diffusion and the Butterfly Effect in Holographic Theories, Phys. Rev. Lett. 117, 091601 (2016).
- B. Yan, S. A. Moses, B. Gadway, J. P. Covey, K. R. Hazzard, A. M. Rey, D. S. Jin, and J. Ye, Observation of dipolar spin-exchange interactions with lattice-confined polar molecules, Nature (London) 501, 521 (2013).
- K. R. A. Hazzard, B. Gadway, M. Foss-Feig, B. Yan, S. A. Moses, J. P. Covey, N. Y. Yao, M. D. Lukin, J. Ye, D. S. Jin, and A. M. Rey, Many-Body Dynamics of Dipolar Molecules in an Optical Lattice, Phys. Rev. Lett. 113, 195302 (2014).
- G. Kucsko, S. Choi, J. Choi, P. C. Maurer, H. Zhou, R. Landig, H. Sumiya, S. Onoda, J. Isoya, F. Jelezko et al., Critical Thermalization of a Disordered Dipolar Spin System in Diamond, Phys. Rev. Lett. 121, 023601 (2018).
- S. Smale, P. He, B. A. Olsen, K. G. Jackson, H. Sharum, S. Trotzky, J. Marino, A. M. Rey, and J. H. Thywissen, Observation of a transition between dynamical phases in a quantum degenerate Fermi gas, Sci. Adv. 5, eaax1568 (2019).
- A. Signoles, T. Franz, R. F. Alves, M. Gärttner, S. Whitlock, G. Zürn, and M. Weidemüller, Glassy Dynamics in a Disordered Quantum Spin System, Phys. Rev. X 11, 011011 (2021).
- L. Gabardos, B. Zhu, S. Lepoutre, A. M. Rey, B. Laburthe-Tolra, and L. Vernac, Relaxation of the Collective Magnetization of a Dense 3D Array of Interacting Dipolar Atoms, Phys. Rev. Lett. 125, 143401 (2020).
- H. G. Krojanski and D. Suter, Reduced Decoherence in Large Quantum Registers, Phys. Rev. Lett. 97, 150503 (2006).
- M. Lovrić, H. G. Krojanski, and D. Suter, Decoherence in large quantum registers under variable interaction with the environment, Phys. Rev. A 75, 042305 (2007).
- S. Banerjee and E. Altman, Solvable model for a dynamical quantum phase transition from fast to slow scrambling, Phys. Rev. B 95, 134302 (2017).
- Y. Gu, X.-L. Qi, and D. Stanford, Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models, J. High Energy Phys. 05 (2017) 125.
- R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen, and S. Sachdev, Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography, Phys. Rev. B 95, 155131 (2017).
- X. Chen, R. Fan, Y. Chen, H. Zhai, and P. Zhang, Competition Between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model, Phys. Rev. Lett. 119, 207603 (2017).
- X.-Y. Song, C.-M. Jian, and L. Balents, Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models, Phys. Rev. Lett. 119, 216601 (2017).
- S.-K. Jian and H. Yao, Solvable Sachdev-Ye-Kitaev Models in Higher Dimensions: From Diffusion to Many-Body Localization, Phys. Rev. Lett. 119, 206602 (2017).
- P. Zhang, Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos, Phys. Rev. B 96, 205138 (2017).
- C.-M. Jian, Z. Bi, and C. Xu, Model for continuous thermal metal to insulator transition, Phys. Rev. B 96, 115122 (2017).
- D. Chowdhury, Y. Werman, E. Berg, and T. Senthil, Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models, Phys. Rev. X 8, 031024 (2018).
- J. Kim, I. R. Klebanov, G. Tarnopolsky, and W. Zhao, Symmetry Breaking in Coupled SYK or Tensor Models, Phys. Rev. X 9, 021043 (2019).
- I. R. Klebanov, A. Milekhin, G. Tarnopolsky, and W. Zhao, Spontaneous breaking of symmetry in coupled complex SYK models, J. High Energy Phys. 11 (2020) 162.
- J. Maldacena and A. Milekhin, SYK Wormhole formation in real time, arXiv:1912.03276.
- S. Plugge, É. Lantagne-Hurtubise, and M. Franz, Revival Dynamics in a Traversable Wormhole, Phys. Rev. Lett. 124, 221601 (2020).
- S. Sahoo, E. Lantagne-Hurtubise, S. Plugge, and M. Franz, Traversable wormhole and Hawking-Page transition in coupled complex SYK models, Phys. Rev. Research 2, 043049 (2020).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L022024 for detailed derivations and more numerical examples.