Hydrodynamic nonlinear response of interacting integrable systems [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Studying the response of a system to external fields yields information on its macroscopic order as well as its microscopic properties. While working to linear order in field strength often suffices to describe experiments, recent advances ...
M. Fava +4 more
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Exactly solvable piecewise analytic double well potential VD(x) = min[(x + d)2, (x − d)2] and its dual single well potential VS(x) = max[(x + d)2, (x − d)2] [PDF]
Journal of Mathematics and Physics, 2022 By putting two harmonic oscillator potentials x2 side by side with a separation 2 d, two exactly solvable piecewise analytic quantum systems with a free parameter d > 0 are obtained. Due to the mirror symmetry, their eigenvalues { E} for the even and odd
R. Sasaki
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Exactly solvable toy model of autocatalysis: Irreversible relaxation after a quantum quench. [PDF]
Physical Review E, 2022 A resolvable quantum many-body Hamiltonian is introduced that mimics the behavior of the autocatalytic chemical reaction A+B⇄2B involving two different molecular species, A and B.
R. Merlin
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Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system [PDF]
Physical review B, 2023 We study $N$ qubits having infinite-range Ising interaction and subjected to periodic pulse of external magnetic field. We solve the cases of $N=5$ to $11$ qubits analytically, finding its eigensystem, the dynamics of the entanglement for various initial
Harshit Sharma, Udaysinh T. Bhosale
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Generalized Hydrodynamics for integrable systems
Journal Club for Condensed Matter Physics, 2021 Determining the physical properties of strongly correlated systems is clearly one of the final frontiers of condensed matter and cold atomic gases. For equilibrium systems, although the situation remains complicated in “high” dimensions (in particular in
N. Malvania +5 more
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High order multiscale analysis of discrete integrable equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions
Rafael Hernandez Heredero +2 more
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Topological Green's Function Zeros in an Exactly Solved Model and Beyond. [PDF]
Physical Review Letters, 2023 The interplay of topological electronic band structures and strong interparticle interactions provides a promising path towards the constructive design of robust, long-range entangled many-body systems.
Steffen Bollmann +3 more
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THE MARSDEN–WEINSTEIN REDUCTION STRUCTURE OF INTEGRABLE DYNAMICAL SYSTEMS AND A GENERALIZED EXACTLY SOLVABLE QUANTUM SUPERRADIANCE MODEL [PDF]
, 2012 An approach to describing nonlinear Lax type integrable dynamical systems of modern mathematical and theoretical physics, based on the Marsden–Weinstein reduction method on canonically symplectic manifolds with group symmetry, is proposed.
N. Bogolubov, Y. Prykarpatsky
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Entangling power of time-evolution operators in integrable and nonintegrable many-body systems [PDF]
Physical review B, 2018 The entangling power and operator entanglement entropy are state-independent measures of entanglement. Their growth and saturation is examined in the time-evolution operator of quantum many-body systems that can range from the integrable to the fully ...
Rajarshi Pal, A. Lakshminarayan
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EXCHANGE OPERATOR FORMALISM FOR AN INFINITE FAMILY OF SOLVABLE AND INTEGRABLE QUANTUM SYSTEMS ON A PLANE [PDF]
, 2009 The exchange operator formalism in polar coordinates, previously considered for the Calogero–Marchioro–Wolfes problem, is generalized to a recently introduced, infinite family of exactly solvable and integrable Hamiltonians Hk, k = 1, 2, 3,…, on a plane.
C. Quesne
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