Integrable Time-Dependent Quantum Hamiltonians

Sinitsyn, Nikolai A.; Yuzbashyan, Emil A.; Chernyak, Vladimir Y.; Patra, Aniket; Sun, Chen

doi:10.1103/PhysRevLett.120.190402

Title: Integrable Time-Dependent Quantum Hamiltonians

Journal Article · 11 May 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.120.190402 · OSTI ID:1482922

Sinitsyn, Nikolai A. ^[1]; Yuzbashyan, Emil A. ^[2]; Chernyak, Vladimir Y. ^[3]; Patra, Aniket ^[4]; Sun, Chen ^[5]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Rutgers Univ., Piscataway, NJ (United States). Center for Materials Theory. Dept. of Physics and Astronomy
Wayne State Univ., Detroit, MI (United States). Dept. of Chemistry. Dept. of Mathematics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Rutgers Univ., Piscataway, NJ (United States). Center for Materials Theory. Dept. of Physics and Astronomy
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Texas A & M Univ., College Station, TX (United States). Dept. of Physics

Here we formulate a set of conditions under which the nonstationary Schrödinger equation with a time-dependent Hamiltonian is exactly solvable analytically. The main requirement is the existence of a non-Abelian gauge field with zero curvature in the space of system parameters. Known solvable multistate Landau-Zener models satisfy these conditions. Our method provides a strategy to incorporate time dependence into various quantum integrable models while maintaining their integrability. Finally, we also validate some prior conjectures, including the solution of the driven generalized Tavis-Cummings model.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Rutgers Univ., Piscataway, NJ (United States); Wayne State Univ., Detroit, MI (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); LANL Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF) (United States)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1482922

Report Number(s):: LA-UR--17-28411

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 19 Vol. 120; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (85)

Ultrahigh-Resolution NMR Spectroscopy Foroozandeh, Mohammadali; Adams, Ralph W.; Meharry, Nicola J. Angewandte Chemie, Vol. 126, Issue 27 https://doi.org/10.1002/ange.201404111	journal	May 2014
Ultrahigh-Resolution NMR Spectroscopy Foroozandeh, Mohammadali; Adams, Ralph W.; Meharry, Nicola J. Angewandte Chemie International Edition, Vol. 53, Issue 27 https://doi.org/10.1002/anie.201404111	journal	May 2014
Atomi orientati in campo magnetico variabile Majorana, Ettore Il Nuovo Cimento, Vol. 9, Issue 2 https://doi.org/10.1007/BF02960953	journal	February 1932
Quantum Integrability in Systems with Finite Number of Levels Yuzbashyan, Emil A.; Shastry, B. Sriram Journal of Statistical Physics, Vol. 150, Issue 4 https://doi.org/10.1007/s10955-013-0689-9	journal	January 2013
Current algebra and Wess-Zumino model in two dimensions Knizhnik, V. G.; Zamolodchikov, A. B. Nuclear Physics B, Vol. 247, Issue 1 https://doi.org/10.1016/0550-3213(84)90374-2	journal	December 1984
Integrability of the pairing hamiltonian Cambiaggio, M. C.; Rivas, A. M. F.; Saraceno, M. Nuclear Physics A, Vol. 624, Issue 2 https://doi.org/10.1016/S0375-9474(97)00418-1	journal	October 1997
Conformal field theory and the exact solution of the BCS Hamiltonian Sierra, Germán Nuclear Physics B, Vol. 572, Issue 3 https://doi.org/10.1016/S0550-3213(00)00036-5	journal	April 2000
Adiabatic perturbation theory and geometry of periodically-driven systems Weinberg, Phillip; Bukov, Marin; D’Alessio, Luca Physics Reports, Vol. 688 https://doi.org/10.1016/j.physrep.2017.05.003	journal	May 2017
Quantum Inverse Scattering Method and Correlation Functions Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G. Cambridge University Press https://doi.org/10.1017/CBO9780511628832	book	January 2010
The Bethe Wavefunction Gaudin, Michel; Caux, Jean-Sebastien https://doi.org/10.1017/CBO9781107053885	book	April 2014
Beautiful models Nee, Sean Nature, Vol. 444, Issue 7115 https://doi.org/10.1038/444037a	journal	November 2006
A quantum Newton's cradle Kinoshita, Toshiya; Wenger, Trevor; Weiss, David S. Nature, Vol. 440, Issue 7086 https://doi.org/10.1038/nature04693	journal	April 2006
Spontaneous vortices in the formation of Bose–Einstein condensates Weiler, Chad N.; Neely, Tyler W.; Scherer, David R. Nature, Vol. 455, Issue 7215 https://doi.org/10.1038/nature07334	journal	October 2008
Quantum annealing with all-to-all connected nonlinear oscillators Puri, Shruti; Andersen, Christian Kraglund; Grimsmo, Arne L. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15785	journal	June 2017
Ultrafast universal quantum control of a quantum-dot charge qubit using Landau–Zener–Stückelberg interference Cao, Gang; Li, Hai-Ou; Tu, Tao Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2412	journal	January 2013
Quenching of dynamic nuclear polarization by spin–orbit coupling in GaAs quantum dots Nichol, John M.; Harvey, Shannon P.; Shulman, Michael D. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8682	journal	July 2015
Many-body Landau–Zener dynamics in coupled one-dimensional Bose liquids Chen, Yu-Ao; Huber, Sebastian D.; Trotzky, Stefan Nature Physics, Vol. 7, Issue 1 https://doi.org/10.1038/nphys1801	journal	October 2010
Coherent control of three-spin states in a triple quantum dot Gaudreau, L.; Granger, G.; Kam, A. Nature Physics, Vol. 8, Issue 1 https://doi.org/10.1038/nphys2149	journal	November 2011
Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas Trotzky, S.; Chen, Y-A.; Flesch, A. Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2232	journal	February 2012
Multi-time Schrödinger equations cannot contain interaction potentials Petrat, Sören; Tumulka, Roderich Journal of Mathematical Physics, Vol. 55, Issue 3 https://doi.org/10.1063/1.4867524	journal	March 2014
Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory Babujian, H. M. Journal of Physics A: Mathematical and General, Vol. 26, Issue 23 https://doi.org/10.1088/0305-4470/26/23/037	journal	December 1993
S-matrix for generalized Landau-Zener problem Brundobler, S.; Elser, Veit Journal of Physics A: Mathematical and General, Vol. 26, Issue 5 https://doi.org/10.1088/0305-4470/26/5/037	journal	March 1993
Exact analytical solution of the N -level Landau - Zener-type bow-tie model Ostrovsky, Valentine N.; Nakamura, Hiroki Journal of Physics A: Mathematical and General, Vol. 30, Issue 19 https://doi.org/10.1088/0305-4470/30/19/028	journal	October 1997
A class of parameter-dependent commuting matrices Shastry, B. Sriram Journal of Physics A: Mathematical and General, Vol. 38, Issue 23 https://doi.org/10.1088/0305-4470/38/23/L03	journal	May 2005
The exact solution of the multistate Landau-Zener type model: the generalized bow-tie model Demkov, Yu N.; Ostrovsky, V. N. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 34, Issue 12 https://doi.org/10.1088/0953-4075/34/12/309	journal	June 2001
Exact out-of-equilibrium central spin dynamics from integrability Fioretto, Davide; Caux, Jean-Sébastien; Gritsev, Vladimir New Journal of Physics, Vol. 16, Issue 4 https://doi.org/10.1088/1367-2630/16/4/043024	journal	April 2014
The link between integrability, level crossings and exact solution in quantum models Owusu, H. K.; Wagh, K.; Yuzbashyan, E. A. Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 3 https://doi.org/10.1088/1751-8113/42/3/035206	journal	December 2008
Classification of parameter-dependent quantum integrable models, their parameterization, exact solution and other properties Owusu, Haile K.; Yuzbashyan, Emil A. Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 39 https://doi.org/10.1088/1751-8113/44/39/395302	journal	September 2011
The model of a level crossing with a Coulomb band: exact probabilities of nonadiabatic transitions Lin, J.; Sinitsyn, N. A. Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 17 https://doi.org/10.1088/1751-8113/47/17/175301	journal	April 2014
Exact transition probabilities in a 6-state Landau–Zener system with path interference Sinitsyn, N. A. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 19 https://doi.org/10.1088/1751-8113/48/19/195305	journal	April 2015
Quantum integrability in the multistate Landau–Zener problem Patra, A.; Yuzbashyan, E. A. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 24 https://doi.org/10.1088/1751-8113/48/24/245303	journal	May 2015
The quest for solvable multistate Landau-Zener models Sinitsyn, Nikolai A.; Chernyak, Vladimir Y. Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 25 https://doi.org/10.1088/1751-8121/aa6800	journal	May 2017
Non-Adiabatic Crossing of Energy Levels Zener, C. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 137, Issue 833 https://doi.org/10.1098/rspa.1932.0165	journal	September 1932
Multipath interference in a multistate Landau-Zener-type model Demkov, Yu. N.; Ostrovsky, V. N. Physical Review A, Vol. 61, Issue 3 https://doi.org/10.1103/PhysRevA.61.032705	journal	February 2000
Nonstationary multistate Coulomb and multistate exponential models for nonadiabatic transitions Ostrovsky, V. N. Physical Review A, Vol. 68, Issue 1 https://doi.org/10.1103/PhysRevA.68.012710	journal	July 2003
Nonadiabaticity and large fluctuations in a many-particle Landau-Zener problem Altland, Alexander; Gurarie, V.; Kriecherbauer, T. Physical Review A, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevA.79.042703	journal	April 2009
Quantum simulation of the Kibble-Zurek mechanism using a semiconductor electron charge qubit Wang, Li; Zhou, Cheng; Tu, Tao Physical Review A, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevA.89.022337	journal	February 2014
Exact results for models of multichannel quantum nonadiabatic transitions Sinitsyn, N. A. Physical Review A, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevA.90.062509	journal	December 2014
Quantum quench phase diagrams of an s -wave BCS-BEC condensate Yuzbashyan, E. A.; Dzero, M.; Gurarie, V. Physical Review A, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevA.91.033628	journal	March 2015
Solvable multistate model of Landau-Zener transitions in cavity QED Sinitsyn, Nikolai A.; Li, Fuxiang Physical Review A, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevA.93.063859	journal	June 2016
Landau-Zener extension of the Tavis-Cummings model: Structure of the solution Sun, Chen; Sinitsyn, Nikolai A. Physical Review A, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevA.94.033808	journal	September 2016
Constraints on scattering amplitudes in multistate Landau-Zener theory Sinitsyn, Nikolai A.; Lin, Jeffmin; Chernyak, Vladimir Y. Physical Review A, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevA.95.012140	journal	January 2017
Landau-Zener transitions in a linear chain Pokrovsky, V. L.; Sinitsyn, N. A. Physical Review B, Vol. 65, Issue 15 https://doi.org/10.1103/PhysRevB.65.153105	journal	April 2002
Multiparticle Landau-Zener problem: Application to quantum dots Sinitsyn, N. A. Physical Review B, Vol. 66, Issue 20 https://doi.org/10.1103/PhysRevB.66.205303	journal	November 2002
Integrable dynamics of coupled Fermi-Bose condensates Yuzbashyan, Emil A.; Kuznetsov, Vadim B.; Altshuler, Boris L. Physical Review B, Vol. 72, Issue 14 https://doi.org/10.1103/PhysRevB.72.144524	journal	October 2005
Experiments on spontaneous vortex formation in Josephson tunnel junctions Monaco, R.; Aaroe, M.; Mygind, J. Physical Review B, Vol. 74, Issue 14 https://doi.org/10.1103/PhysRevB.74.144513	journal	October 2006
Boundary Wess-Zumino-Novikov-Witten model from the pairing Hamiltonian Sedrakyan, Tigran A.; Galitski, Victor Physical Review B, Vol. 82, Issue 21 https://doi.org/10.1103/PhysRevB.82.214502	journal	December 2010
Interplay of charge and spin coherence in Landau-Zener-Stückelberg-Majorana interferometry Ribeiro, Hugo; Petta, J. R.; Burkard, Guido Physical Review B, Vol. 87, Issue 23 https://doi.org/10.1103/PhysRevB.87.235318	journal	June 2013
Solvable four-state Landau-Zener model of two interacting qubits with path interference Sinitsyn, N. A. Physical Review B, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevB.92.205431	journal	November 2015
Many Body Generalization of the Landau-Zener Problem Altland, Alexander; Gurarie, V. Physical Review Letters, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevLett.100.063602	journal	February 2008
Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases Widera, Artur; Trotzky, Stefan; Cheinet, Patrick Physical Review Letters, Vol. 100, Issue 14 https://doi.org/10.1103/PhysRevLett.100.140401	journal	April 2008
Nonadiabatic Transitions in Exactly Solvable Quantum Mechanical Multichannel Model: Role of Level Curvature and Counterintuitive Behavior Sinitsyn, N. A. Physical Review Letters, Vol. 110, Issue 15 https://doi.org/10.1103/PhysRevLett.110.150603	journal	April 2013
Higgs Amplitude Mode in the BCS Superconductors Nb 1 − x Ti x N Induced by Terahertz Pulse Excitation Matsunaga, Ryusuke; Hamada, Yuki I.; Makise, Kazumasa Physical Review Letters, Vol. 111, Issue 5 https://doi.org/10.1103/PhysRevLett.111.057002	journal	July 2013
Characterization of Qubit Dephasing by Landau-Zener-Stückelberg-Majorana Interferometry Forster, F.; Petersen, G.; Manus, S. Physical Review Letters, Vol. 112, Issue 11 https://doi.org/10.1103/PhysRevLett.112.116803	journal	March 2014
Complete Generalized Gibbs Ensembles in an Interacting Theory Ilievski, E.; De Nardis, J.; Wouters, B. Physical Review Letters, Vol. 115, Issue 15 https://doi.org/10.1103/PhysRevLett.115.157201	journal	October 2015
Observation of Resonance Condensation of Fermionic Atom Pairs Regal, C. A.; Greiner, M.; Jin, D. S. Physical Review Letters, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevLett.92.040403	journal	January 2004
Condensation of Pairs of Fermionic Atoms near a Feshbach Resonance Zwierlein, M. W.; Stan, C. A.; Schunck, C. H. Physical Review Letters, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevLett.92.120403	journal	March 2004
Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model Dziarmaga, Jacek Physical Review Letters, Vol. 95, Issue 24 https://doi.org/10.1103/PhysRevLett.95.245701	journal	December 2005
Gauging a Quantum Heat Bath with Dissipative Landau-Zener Transitions Wubs, Martijn; Saito, Keiji; Kohler, Sigmund Physical Review Letters, Vol. 97, Issue 20 https://doi.org/10.1103/PhysRevLett.97.200404	journal	November 2006
Dynamical Control of Matter-Wave Tunneling in Periodic Potentials Lignier, H.; Sias, C.; Ciampini, D. Physical Review Letters, Vol. 99, Issue 22 https://doi.org/10.1103/PhysRevLett.99.220403	journal	November 2007
Relaxation and Prethermalization in an Isolated Quantum System Gring, M.; Kuhnert, M.; Langen, T. Science, Vol. 337, Issue 6100 https://doi.org/10.1126/science.1224953	journal	September 2012
Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems Sutherland, Bill https://doi.org/10.1142/5552	book	June 2004
Nonadiabatic Transition Nakamura, Hiroki World Scientific https://doi.org/10.1142/8009	book	January 2012
Quantum Tunneling in Half-Integer Spin Systems Miyashita, S.; Nagaosa, N. Progress of Theoretical Physics, Vol. 106, Issue 3 https://doi.org/10.1143/PTP.106.533	journal	September 2001
SU(3) Landau-Zener interferometry Kiselev, M. N.; Kikoin, K.; Kenmoe, M. B. EPL (Europhysics Letters), Vol. 104, Issue 5 https://doi.org/10.1209/0295-5075/104/57004	journal	December 2013
Nonadiabatic Landau-Zener tunneling in Fe ₈ molecular nanomagnets Wernsdorfer, W.; Sessoli, R.; Caneschi, A. Europhysics Letters (EPL), Vol. 50, Issue 4 https://doi.org/10.1209/epl/i2000-00305-x	journal	May 2000
Dynamical control of matter-wave tunneling in periodic potentials Lignier, H.; Sias, C.; Ciampini, D. arXiv https://doi.org/10.48550/arxiv.0707.0403	text	January 2007
Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases Widera, Artur; Trotzky, Stefan; Cheinet, Patrick arXiv https://doi.org/10.48550/arxiv.0709.2094	text	January 2007
Non-adiabacity and large flucutations in a many particle Landau Zener problem Altland, A.; Gurarie, V.; Kriecherbauer, T. arXiv https://doi.org/10.48550/arxiv.0811.2527	text	January 2008
Boundary Wess-Zumino-Novikov-Witten Model from the Pairing Hamiltonian Sedrakyan, Tigran A.; Galitski, Victor arXiv https://doi.org/10.48550/arxiv.1005.0544	text	January 2010
Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties Owusu, Haile K.; Yuzbashyan, Emil A. arXiv https://doi.org/10.48550/arxiv.1106.1831	text	January 2011
Coherent control of three-spin states in a triple quantum dot Gaudreau, L.; Granger, G.; Kam, A. arXiv https://doi.org/10.48550/arxiv.1106.3518	text	January 2011
Quantum quench phase diagrams of an s-wave BCS-BEC condensate Yuzbashyan, Emil A.; Dzero, Maxim; Gurarie, Victor arXiv https://doi.org/10.48550/arxiv.1412.7165	text	January 2014
Complete Generalized Gibbs Ensemble in an interacting Theory Ilievski, Enej; De Nardis, Jacopo; Wouters, Bram arXiv https://doi.org/10.48550/arxiv.1507.02993	text	January 2015
Solvable multistate model of Landau-Zener transitions in cavity QED Sinitsyn, Nikolai A.; Li, Fuxiang arXiv https://doi.org/10.48550/arxiv.1602.03136	text	January 2016
Nonadiabatic Landau Zener tunneling in Fe_8 molecular nanomagnets Wernsdorfer, W.; Sessoli, R.; Caneschi, A. arXiv https://doi.org/10.48550/arxiv.cond-mat/0001346	text	January 2000
Quantum Tunneling in Half-Integer Spin Systems Miyashita, S.; Nagaosa, N. arXiv https://doi.org/10.48550/arxiv.cond-mat/0108063	text	January 2001
Landau-Zener transitions in a linear chain Pokrovsky, V. L.; Sinitsyn, N. A. arXiv https://doi.org/10.48550/arxiv.cond-mat/0112419	text	January 2001
Observation of resonance condensation of fermionic atom pairs Regal, C. A.; Greiner, M.; Jin, D. S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0401554	text	January 2004
Dynamics of quantum phase transition: exact solution in quantum Ising model Dziarmaga, Jacek arXiv https://doi.org/10.48550/arxiv.cond-mat/0509490	text	January 2005
New Experiments for Spontaneous Vortex Formation in Josephson Tunnel Junctions Monaco, R.; Aaroe, M.; Myging, J. arXiv https://doi.org/10.48550/arxiv.cond-mat/0607021	text	January 2006
Gauging a quantum heat bath with dissipative Landau-Zener transitions Wubs, Martijn; Saito, Keiji; Kohler, Sigmund arXiv https://doi.org/10.48550/arxiv.cond-mat/0608333	text	January 2006
Off-Shell Bethe Ansatz Equation and N-point Correlators in the SU(2) WZNW Theory Baboujian, H. M. arXiv https://doi.org/10.48550/arxiv.hep-th/9307062	text	January 1993
Conformal Field Theory and the Exact Solution of the BCS Hamiltonian Sierra, German arXiv https://doi.org/10.48550/arxiv.hep-th/9911078	text	January 1999
Integrability of the pairing hamiltonian Cambiaggio, M. C.; Rivas, A. M. F.; Saraceno, M. arXiv https://doi.org/10.48550/arxiv.nucl-th/9708031	text	January 1997

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