Bethe ansatz
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Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain Open
Quantum integrable systems, such as the interacting Bose gas in one dimension and the XXZ quantum spin chain, have an extensive number of local conserved quantities that endow them with exotic thermalization and transport properties. We di…
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Entanglement dynamics after quantum quenches in generic integrable systems Open
The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the enta…
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Non-Hermitian Kondo Effect in Ultracold Alkaline-Earth Atoms Open
We investigate the Kondo effect in an open quantum system, motivated by recent experiments with ultracold alkaline-earth(-like) atoms. Because of inelastic collisions and the associated atom losses, this system is described by a complex-va…
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Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain Open
Recently, the subradiant states of one-dimensional two-level atom chains coupled to light modes were found to have decay rates obeying a universal scaling, and an unexpected fermionic character of the multiply excited subradiant states was…
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Quantum Generalized Hydrodynamics Open
Physical systems made of many interacting quantum particles can often be described by Euler hydrodynamic equations in the limit of long wavelengths and low frequencies. Recently such a classical hydrodynamic framework, now dubbed generaliz…
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Exact Bethe Ansatz Spectrum of a Tight-Binding Chain with Dephasing Noise Open
We construct an exact map between a tight-binding model on any bipartite lattice in the presence of dephasing noise and a Hubbard model with imaginary interaction strength. In one dimension, the exact many-body Liouvillian spectrum can be …
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Spectral Statistics and Many-Body Quantum Chaos with Conserved Charge Open
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a conserved charge. We compute the spectral form factor K(t) analytically for a minimal Floquet circuit model that has a U(1) symmetry encoded…
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Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model Open
A one-dimensional dissipative Hubbard model with two-body loss is shown to be exactly solvable. We obtain an exact eigenspectrum of a Liouvillian superoperator by employing a non-Hermitian extension of the Bethe-ansatz method. We find stea…
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Strings on NS-NS backgrounds as integrable deformations Open
We consider the world-sheet S matrix of superstrings on an AdS3×S3×T4 NS-NS background in uniform light-cone gauge. We argue that scattering is given by a CDD factor that is nontrivial only between opposite-chirality particles, yielding a …
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Constrained sampling method for analytic continuation Open
A method for analytic continuation of imaginary-time correlation functions (here obtained in quantum Monte Carlo simulations) to real-frequency spectral functions is proposed. Stochastically sampling a spectrum parametrized by a large numb…
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Generalized hydrodynamics of the classical Toda system Open
We obtain the exact generalized hydrodynamics for the integrable Toda system. The Toda system can be seen in a dual way, both as a gas and as a chain. In the gas point of view, using the elastic and factorized scattering of Toda particles,…
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Exact steady states for quantum quenches in integrable Heisenberg spin chains Open
The study of quantum quenches in integrable systems has significantly\nadvanced with the introduction of the Quench Action method, a versatile\nanalytical approach to non-equilibrium dynamics. However, its application is\nlimited to those …
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Achieving the Scaling Limit for Nonequilibrium Green Functions Simulations Open
The dynamics of strongly correlated fermions following an external excitation reveals extremely rich collective quantum effects. Examples are fermionic atoms in optical lattices, electrons in correlated materials, and dense quantum plasmas…
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Quantum quenches in the sinh-Gordon model: steady state and one-point correlation functions Open
We consider quantum quenches to the sinh-Gordon integrable quantum field\ntheory from a particular class of initial states. Our analysis includes the\ncase of mass and interaction quenches starting from a non-interacting theory.\nBy means …
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Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain Open
We demonstrate the universal properties of dissipative Tomonaga-Luttinger\n(TL) liquids by calculating correlation functions and performing finite-size\nscaling analysis of a non-Hermitian XXZ spin chain as a prototypical model in\none-dim…
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From the quantum transfer matrix to the quench action: the Loschmidt echo in<i>XXZ</i>Heisenberg spin chains Open
We consider the computation of the Loschmidt echo after quantum quenches in the interacting XXZ Heisenberg spin chain both for real and imaginary times. We study two-site product initial states, focusing in particular on the Néel and tilte…
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Microstate counting via Bethe Ansätze in the 4d $$ \mathcal{N} $$ = 1 superconformal index Open
A bstract We study the superconfomal index of four-dimensional toric quiver gauge theories using a Bethe Ansatz approach recently applied by Benini and Milan. Relying on a particular set of solutions to the corresponding Bethe Ansatz equat…
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Correlations and diagonal entropy after quantum quenches in XXZ chains Open
We study quantum quenches in the XXZ spin-$1/2$ Heisenberg chain from families of ferromagnetic and antiferromagnetic initial states. Using Bethe ansatz techniques, we compute short-range correlators in the complete generalized Gibbs ensem…
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Mobile impurity in a Bose-Einstein condensate and the orthogonality catastrophe Open
We analyze the properties of an impurity in a dilute Bose-Einstein condensate\n(BEC). First the quasiparticle residue of a static impurity in an ideal BEC is\nshown to vanish with increasing particle number as a stretched exponential,\nlea…
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Energy transport in an integrable parafermionic chain via generalized hydrodynamics Open
We study energy transport in the integrable Z3 parafermionic chain using the partitioning protocol. By exploiting the Bethe-ansatz solution for the thermodynamics of the system, we develop a generalized hydrodynamic description of the non-…
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Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss Open
We develop a Bethe ansatz based approach to study dissipative systems experiencing loss. The method allows us to exactly calculate the spectra of interacting, many-body Liouvillians. We discuss how the dissipative Bethe ansatz opens the po…
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G1-G2 scheme: Dramatic acceleration of nonequilibrium Green functions simulations within the Hartree-Fock generalized Kadanoff-Baym ansatz Open
The time evolution in quantum many-body systems after external excitations is\nattracting high interest in many fields. The theoretical modeling of these\nprocesses is challenging, and the only rigorous quantum-dynamics approach that\ncan …
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Rényi entropies after releasing the Néel state in the<i>XXZ</i>spin-chain Open
We study the R\\'enyi entropies in the spin-1/2 anisotropic Heisenberg chain after a quantum quench starting from the N\\'eel state. The quench action method allows us to obtain the stationary R\\'enyi entropies for arbitrary values of the…
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Sub-leading structures in superconformal indices: subdominant saddles and logarithmic contributions Open
We systematically study various sub-leading structures in the superconformal index of N = 4 supersymmetric Yang-Mills theory with SU(N) gauge group. We concentrate in the superconformal index description as a matrix model of elliptic gamma…
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Spin crossovers and superdiffusion in the one-dimensional Hubbard model Open
We use tools from integrability and generalized hydrodynamics to study finite-temperature dynamics in the one-dimensional Hubbard model. First, we examine charge, spin, and energy transport away from half-filling and zero magnetization, fo…
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Front dynamics and entanglement in the XXZ chain with a gradient Open
We consider the XXZ spin chain with a magnetic field gradient and study the\nprofiles of the magnetization as well as the entanglement entropy. For a slowly\nvarying field it is shown that, by means of a local density approximation, the\ng…
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The open XXX spin chain in the SoV framework: scalar product of separate states Open
We consider the XXX open spin-1/2 chain with the most general non-diagonal\nboundary terms, that we solve by means of the quantum separation of variables\n(SoV) approach. We compute the scalar products of separate states, a class of\nstate…
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Towards a generalized hydrodynamics description of Rényi entropies in integrable systems Open
We investigate the steady-state R\\'enyi entanglement entropies after a quench\nfrom a piecewise homogeneous initial state in integrable models. In the quench\nprotocol two macroscopically different chains (leads) are joined together at\nt…
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Finite-Time Fluctuations for the Totally Asymmetric Exclusion Process Open
The one-dimensional totally asymmetric simple exclusion process, a Markov process describing classical hard-core particles hopping in the same direction, is considered on a periodic lattice of L sites. The relaxation to the nonequilibrium …
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Four-Body Scale in Universal Few-Boson Systems Open
The role of an intrinsic four-body scale in universal few-boson systems is the subject of active debate. We study these systems within the framework of effective field theory. For systems of up to six bosons we establish that no four-body …