[en] We introduce a gravitational lattice theory defined in an AdS3 black hole background that provides a holographic dual description of the linear-to-zigzag structural phase transition, characterized by the spontaneous breaking of parity symmetry observed in, e.g., confined Coulomb crystals. The transition from the high-symmetry linear phase to the broken-symmetry doubly degenerate zigzag phase can be driven by quenching the coupling between adjacent sites through the critical point. An analysis of the equilibrium correlation length and relaxation time reveals mean-field critical exponents. We explore the nonequilibrium phase transition dynamics leading to kink formation. The kink density obeys universal scaling laws in the limit of slow quenches, described by the Kibble-Zurek mechanism (KZM), and at fast quenches, characterized by a universal breakdown of the KZM.
Disciplines :
Physics
Author, co-author :
Xia, Chuan-Yin; Center for Gravitation and Cosmology, College of Physical and Technology, Yangzhou University, Yangzhou, China
Zeng, Hua-Bi ; Center for Gravitation and Cosmology, College of Physical and Technology, Yangzhou University, Yangzhou, China
Chen, Chiang-Mei ; Department of Physics, Center for High Energy and High Field Physics (CHiP), National Central University, Chungli, Taiwan
DEL CAMPO ECHEVARRIA, Adolfo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
yes
Language :
English
Title :
Structural phase transition and its critical dynamics from holography
National Natural Science Foundation of China National Science and Technology Council Postgraduate Research & Practice Innovation Program of Jiangsu Province
Funding text :
We thank Jan Zaanen and Li Li for their valuable comments. This work is supported by the National Natural Science Foundation of China (under Grant No. 12275233) and the Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX22_3450). The work of C. M. C. was supported by the National Science and Technology Council of the R.O.C. (Taiwan) under the Grant No. NSTC 111-2112-M-008-012.
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Bibliography
J. Maldacena, The large-n limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38, 1113 (1999). IJTPBM 0020-7748 10.1023/A:1026654312961
S. Gubser, I. Klebanov, and A. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428, 105 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00377-3
E. Witten, Anti de Sitter space and holography, Adv. Theor. Math. Phys. 2, 253 (1998). 1095-0761 10.4310/ATMP.1998.v2.n2.a2
J. Zaanen, Y. Liu, Y.-W. Sun, and K. Schalm, Holographic Duality in Condensed Matter Physics (Cambridge University Press, Cambridge, England, 2015).
M. Ammon and J. Erdmenger, Gauge/Gravity Duality: Foundations and Applications (Cambridge University Press, Cambridge, England, 2015).
S. A. Hartnoll, A. Lucas, and S. Sachdev, Holographic Quantum Matter (MIT Press, Cambridge, England, 2018).
H. Liu and J. Sonner, Holographic systems far from equilibrium: A review, Rep. Prog. Phys. 83, 016001 (2019). RPPHAG 0034-4885 10.1088/1361-6633/ab4f91
J. Zaanen, Planckian dissipation, minimal viscosity and the transport in cuprate strange metals, SciPost Phys. 6, 061 (2019). 2542-4653 10.21468/SciPostPhys.6.5.061
J. Zaanen, Lectures on quantum supreme matter, arXiv:2110.00961.
A. Bruce and R. A. Cowley, Structural phase transitions (1981).
R. A. Cowley, Structural phase transitions I. Landau theory, Adv. Phys. 29, 1 (1980). ADPHAH 0001-8732 10.1080/00018738000101346
A. D. Bruce, Structural phase transitions. II. Static critical behaviour, Adv. Phys. 29, 111 (1980). ADPHAH 0001-8732 10.1080/00018738000101356
Iu. M. Gufan, Structural phase transitions, Moscow Izdatel Nauka (1982).
A. Levanyuk and A. Sigov, Defects and Structural Phase Transitions, Ferroelectrics and Polar Materials (Gordon and Breach Science Publishers, New York, 1988).
M. Fujimoto, The Physics of Structural Phase Transitions, The Physics of Structural Phase Transitions (Springer, New York, 2004).
K. Müller and H. Thomas, Structural Phase Transitions I, Topics in Current Physics (Springer, Berlin, Heidelberg, 2012).
E. K. H. Salje, Crystallography and structural phase transitions, an introduction, Acta Crystallogr. Sect. A 47, 453 (1991). ACACEQ 0108-7673 10.1107/S0108767391004300
R. C. Thompson, Ion Coulomb crystals, Contemp. Phys. 56, 63 (2015). CTPHAF 0010-7514 10.1080/00107514.2014.989715
C. E. Wieman, D. E. Pritchard, and D. J. Wineland, Atom cooling, trapping, and quantum manipulation, Rev. Mod. Phys. 71, S253 (1999). RMPHAT 0034-6861 10.1103/RevModPhys.71.S253
D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Quantum dynamics of single trapped ions, Rev. Mod. Phys. 75, 281 (2003). RMPHAT 0034-6861 10.1103/RevModPhys.75.281
G. A. Mansoori and S. A. Rice, Confined fluids: Structure, properties and phase behavior, in Advances in Chemical Physics (Wiley, New York, 2014), Chap. 5, pp. 197-294.
R. W. Hasse and J. P. Schiffer, The structure of the cylindrically confined Coulomb lattice, Ann. Phys. (N.Y.) 203, 419 (1990). APNYA6 0003-4916 10.1016/0003-4916(90)90177-P
J. P. Schiffer, Phase Transitions in Anisotropically Confined Ionic Crystals, Phys. Rev. Lett. 70, 818 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.818
D. H. E. Dubin, Theory of Structural Phase Transitions in a Trapped Coulomb Crystal, Phys. Rev. Lett. 71, 2753 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.2753
G. Piacente, I. V. Schweigert, J. J. Betouras, and F. M. Peeters, Generic properties of a quasi-one-dimensional classical Wigner crystal, Phys. Rev. B 69, 045324 (2004). PRBMDO 0163-1829 10.1103/PhysRevB.69.045324
A. Retzker, R. C. Thompson, D. M. Segal, and M. B. Plenio, Double Well Potentials and Quantum Phase Transitions in Ion Traps, Phys. Rev. Lett. 101, 260504 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.260504
G. Birkl, S. Kassner, and H. Walther, Multiple-shell structures of laser-cooled (Equation presented) ions in a quadrupole storage ring, Nature (London) 357, 310 (1992). NATUAS 0028-0836 10.1038/357310a0
M. G. Raizen, J. M. Gilligan, J. C. Bergquist, W. M. Itano, and D. J. Wineland, Ionic crystals in a linear paul trap, Phys. Rev. A 45, 6493 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.45.6493
S. Ejtemaee and P. C. Haljan, Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions, Phys. Rev. A 87, 051401 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.87.051401
S. Ulm, J. Roßnagel, G. Jacob, C. Degünther, S. T. Dawkins, U. G. Poschinger, R. Nigmatullin, A. Retzker, M. B. Plenio, F. Schmidt-Kaler, and K. Singer, Observation of the Kibble-Zurek scaling law for defect formation in ion crystals, Nat. Commun. 4, 2290 (2013). NCAOBW 2041-1723 10.1038/ncomms3290
K. Pyka, J. Keller, H. L. Partner, R. Nigmatullin, T. Burgermeister, D. M. Meier, K. Kuhlmann, A. Retzker, M. B. Plenio, W. H. Zurek, A. del Campo, and T. E. Mehlstäubler, Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals, Nat. Commun. 4, 2291 (2013). NCAOBW 2041-1723 10.1038/ncomms3291
H. L. Partner, R. Nigmatullin, T. Burgermeister, J. Keller, K. Pyka, M. B. Plenio, A. Retzker, W. H. Zurek, A. del Campo, and T. E. Mehlstäubler, Structural phase transitions and topological defects in ion Coulomb crystals, Physica (Amsterdam) 460B, 114 (2015), special Issue on Electronic Crystals (ECRYS-2014). PHYBE3 0921-4526 10.1016/j.physb.2014.11.051
C. Schneider, D. Porras, and T. Schaetz, Experimental quantum simulations of many-body physics with trapped ions, Rep. Prog. Phys. 75, 024401 (2012). RPPHAG 0034-4885 10.1088/0034-4885/75/2/024401
S. Fishman, G. De Chiara, T. Calarco, and G. Morigi, Structural phase transitions in low-dimensional ion crystals, Phys. Rev. B 77, 064111 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.064111
A. del Campo, G. De Chiara, G. Morigi, M. B. Plenio, and A. Retzker, Structural Defects in Ion Chains by Quenching the External Potential: The Inhomogeneous Kibble-Zurek Mechanism, Phys. Rev. Lett. 105, 075701 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.075701
P. Laguna and W. H. Zurek, Density of Kinks After a Quench: When Symmetry Breaks, How Big are the Pieces, Phys. Rev. Lett. 78, 2519 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.2519
P. Laguna and W. H. Zurek, Critical dynamics of symmetry breaking: Quenches, dissipation, and cosmology, Phys. Rev. D 58, 085021 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.085021
G. D. Chiara, A. del Campo, G. Morigi, M. B. Plenio, and A. Retzker, Spontaneous nucleation of structural defects in inhomogeneous ion chains, New J. Phys. 12, 115003 (2010). NJOPFM 1367-2630 10.1088/1367-2630/12/11/115003
F. J. Gómez-Ruiz, J. J. Mayo, and A. del Campo, Full Counting Statistics of Topological Defects After Crossing a Phase Transition, Phys. Rev. Lett. 124, 240602 (2020). PRLTAO 0031-9007 10.1103/PhysRevLett.124.240602
A. del Campo, F. J. Gómez-Ruiz, and H.-Q. Zhang, Locality of spontaneous symmetry breaking and universal spacing distribution of topological defects formed across a phase transition, Phys. Rev. B 106, L140101 (2022). PRBMDO 2469-9950 10.1103/PhysRevB.106.L140101
T. W. B. Kibble, Topology of cosmic domains and strings, J. Phys. A 9, 1387 (1976). JPHAC5 0305-4470 10.1088/0305-4470/9/8/029
T. W. B. Kibble, Some implications of a cosmological phase transition, Phys. Rep. 67, 183 (1980). PRPLCM 0370-1573 10.1016/0370-1573(80)90091-5
W. H. Zurek, Cosmological experiments in superfluid helium, Nature (London) 317, 505 (1985). NATUAS 0028-0836 10.1038/317505a0
W. Zurek, Cosmological experiments in condensed matter systems, Phys. Rep. 276, 177 (1996). PRPLCM 0370-1573 10.1016/S0370-1573(96)00009-9
A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Colloquium: Nonequilibrium dynamics of closed interacting quantum systems, Rev. Mod. Phys. 83, 863 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.863
A. del Campo and W. H. Zurek, Universality of phase transition dynamics: Topological defects from symmetry breaking, Int. J. Mod. Phys. A 29, 1430018 (2014). IMPAEF 0217-751X 10.1142/S0217751X1430018X
A. del Campo, T. W. B. Kibble, and W. H. Zurek, Causality and non-equilibrium second-order phase transitions in inhomogeneous systems, J. Phys. Condens. Matter 25, 404210 (2013). JCOMEL 0953-8984 10.1088/0953-8984/25/40/404210
H.-B. Zeng, C.-Y. Xia, and A. del Campo, Universal Breakdown of Kibble-Zurek Scaling in Fast Quenches Across a Phase Transition, Phys. Rev. Lett. 130, 060402 (2023). PRLTAO 0031-9007 10.1103/PhysRevLett.130.060402
N. Iqbal, H. Liu, M. Mezei, and Q. Si, Quantum phase transitions in holographic models of magnetism and superconductors, Phys. Rev. D 82, 045002 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.82.045002
J.-M. Drouffe, Statistical Field Theory, Vol. II. Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems (Cambridge University Press, Cambridge, England, 1989).
N. D. Antunes, P. Gandra, and R. J. Rivers, Is domain formation decided before or after the transition, Phys. Rev. D 73, 125003 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.73.125003
A. Polkovnikov, Universal adiabatic dynamics in the vicinity of a quantum critical point, Phys. Rev. B 72, 161201 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.161201
J. Dziarmaga, Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model, Phys. Rev. Lett. 95, 245701 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.245701
C. De Grandi, V. Gritsev, and A. Polkovnikov, Quench dynamics near a quantum critical point, Phys. Rev. B 81, 012303 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.012303
P. M. Chesler, A. M. Garcia-Garcia, and H. Liu, Defect Formation beyond Kibble-Zurek Mechanism and Holography, Phys. Rev. X 5, 021015 (2015). PRXHAE 2160-3308 10.1103/PhysRevX.5.021015
H.-B. Zeng, C.-Y. Xia, and H.-Q. Zhang, Topological defects as relics of spontaneous symmetry breaking from black hole physics, J. High Energy Phys. 03 (2021) 136. JHEPFG 1029-8479 10.1007/JHEP03(2021)136
Z.-H. Li, C.-Y. Xia, H.-B. Zeng, and H.-Q. Zhang, Formation and critical dynamics of topological defects in lifshitz holography, J. High Energy Phys. 04 (2020) 147. JHEPFG 1029-8479 10.1007/JHEP04(2020)147
C.-Y. Xia and H.-B. Zeng, Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism, Phys. Rev. D 102, 126005 (2020). PRVDAQ 2470-0010 10.1103/PhysRevD.102.126005
Z.-H. Li, H.-B. Zeng, and H.-Q. Zhang, Topological defects formation with momentum dissipation, J. High Energy Phys. 04 (2021) 295. JHEPFG 1029-8479 10.1007/JHEP04(2021)295
A. del Campo, F. J. Gómez-Ruiz, Z.-H. Li, C.-Y. Xia, H.-B. Zeng, and H.-Q. Zhang, Universal statistics of vortices in a newborn holographic superconductor: Beyond the Kibble-Zurek mechanism, J. High Energy Phys. 06 (2021) 61. JHEPFG 1029-8479 10.1007/JHEP06(2021)061
V. Kaplunovsky, D. Melnikov, and J. Sonnenschein, Baryonic popcorn, J. High Energy Phys. 11 (2012) 47. JHEPFG 1029-8479 10.1007/JHEP11(2012)047
V. Kaplunovsky and J. Sonnenschein, Dimension changing phase transitions in instanton crystals, J. High Energy Phys. 04 (2014) 22. JHEPFG 1029-8479 10.1007/JHEP04(2014)022
J. Sonner, A. del Campo, and W. H. Zurek, Universal far-from-equilibrium dynamics of a holographic superconductor, Nat. Commun. 6, 7406 (2015). NCAOBW 2041-1723 10.1038/ncomms8406
H. Landa, S. Marcovitch, A. Retzker, M. B. Plenio, and B. Reznik, Quantum Coherence of Discrete Kink Solitons in Ion Traps, Phys. Rev. Lett. 104, 043004 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.043004
E. Shimshoni, G. Morigi, and S. Fishman, Quantum Zigzag Transition in Ion Chains, Phys. Rev. Lett. 106, 010401 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.010401
C. Cormick and G. Morigi, Structural Transitions of Ion Strings in Quantum Potentials, Phys. Rev. Lett. 109, 053003 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.053003
P. Silvi, G. Morigi, T. Calarco, and S. Montangero, Crossover from Classical to Quantum Kibble-Zurek Scaling, Phys. Rev. Lett. 116, 225701 (2016). PRLTAO 0031-9007 10.1103/PhysRevLett.116.225701
R. Nigmatullin, A. del Campo, G. De Chiara, G. Morigi, M. B. Plenio, and A. Retzker, Formation of helical ion chains, Phys. Rev. B 93, 014106 (2016). PRBMDO 2469-9950 10.1103/PhysRevB.93.014106
A. del Campo, Universal Statistics of Topological Defects Formed in a Quantum Phase Transition, Phys. Rev. Lett. 121, 200601 (2018). PRLTAO 0031-9007 10.1103/PhysRevLett.121.200601
J.-M. Cui, F. J. Gómez-Ruiz, Y.-F. Huang, C.-F. Li, G.-C. Guo, and A. del Campo, Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism, Commun. Phys. 3, 44 (2020). CMPYEL 0868-3166 10.1038/s42005-020-0306-6
Y. Bando, Y. Susa, H. Oshiyama, N. Shibata, M. Ohzeki, F. J. Gómez-Ruiz, D. A. Lidar, S. Suzuki, A. del Campo, and H. Nishimori, Probing the universality of topological defect formation in a quantum annealer: Kibble-Zurek mechanism and beyond, Phys. Rev. Res. 2, 033369 (2020). PPRHAI 2643-1564 10.1103/PhysRevResearch.2.033369
J. J. Mayo, Z. Fan, G.-W. Chern, and A. del Campo, Distribution of kinks in an Ising ferromagnet after annealing and the generalized Kibble-Zurek mechanism, Phys. Rev. Res. 3, 033150 (2021). PPRHAI 2643-1564 10.1103/PhysRevResearch.3.033150
D. Subires, F. J. Gómez-Ruiz, A. Ruiz-García, D. Alonso, and A. del Campo, Benchmarking quantum annealing dynamics: The spin-vector Langevin model, Phys. Rev. Res. 4, 023104 (2022). PPRHAI 2643-1564 10.1103/PhysRevResearch.4.023104
F. J. Gómez-Ruiz, D. Subires, and A. del Campo, Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition, Phys. Rev. B 106, 134302 (2022). PRBMDO 2469-9950 10.1103/PhysRevB.106.134302
A. D. King, Coherent quantum annealing in a programmable 2000 qubit Ising chain, Nat. Phys. 18, 1324 (2022). NPAHAX 1745-2473 10.1038/s41567-022-01741-6
Z.-H. Li, H.-Q. Shi, and H.-Q. Zhang, From black hole to one-dimensional chain: Parity symmetry breaking and kink formation, arXiv:2207.10995.
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