Prethermalization in one-dimensional quantum many-body systems with confinement

Birnkammer, Stefan; Bastianello, Alvise; Knap, Michael

doi:10.48550/arxiv.2202.12908

Cited by 3 publications

(3 citation statements)

References 50 publications

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“…Similar observations were made for gauge theories in [66][67][68] as well as for quasiparticles in paramagnetic quenches [69,70]. Further aspects of entanglement dynamics and thermalization behavior in spin chain models are discussed, e.g., in [71][72][73].…”

Section: Quantum Quenches and Quasiparticle Modelsupporting

confidence: 67%

A quantum information perspective on meson melting

Bañuls¹,

Heller²,

Jansen³

et al. 2022

Preprint

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We propose to use quantum information notions to characterize thermally induced melting of nonperturbative bound states at high temperatures. We apply tensor networks to investigate this idea in static and dynamical settings within the Ising quantum field theory, where bound states are confined fermion pairs -mesons. In equilibrium, we identify the transition from an exponential decay to a power law scaling with temperature in an efficiently computable second Rényi entropy of a thermal density matrix as a signature of meson melting. Out of equilibrium, we identify as the relevant signature the transition from an oscillatory to a linear growing behavior of reflected entropy after a thermal quench. These analyses apply more broadly, which brings new ways of describing in-medium meson phenomena in quantum many-body and high-energy physics.

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Section: Quantum Quenches and Quasiparticle Modelsupporting

confidence: 67%

A quantum information perspective on meson melting

Bañuls¹,

Heller²,

Jansen³

et al. 2022

Preprint

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“…These anomalous nonequilibrium states attract much interest, as they facilitate the realization of unconventional phases of matter. While quenched disorder gives rise to the strongest form of ergodicity breaking [3][4][5], characterized by emergent integrals of motion [6][7][8][9], suppression of thermalization may arise from a variety of mechanisms in translationally invariant Hamiltonian systems, including configurational disorder [10][11][12][13][14][15][16][17][18][19][20], kinetic constraints [21][22][23][24][25], long-range interactions [26][27][28][29][30][31][32], confinement of elementary excitations [33][34][35][36][37][38][39][40][41][42][43][44], Hilbert-space fragmentation [45][46][47][48][49], or quantum many-...…”

mentioning

confidence: 99%

Localization and melting of interfaces in the two-dimensional quantum Ising model

Balducci,

Gambassi,

Lerose

et al. 2022

Preprint

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We study the non-equilibrium evolution of coexisting ferromagnetic domains in the twodimensional quantum Ising model-a setup relevant in several contexts, from quantum nucleation dynamics and false-vacuum decay scenarios to recent experiments with Rydberg-atom arrays. We demonstrate that the quantum-fluctuating interface delimiting a large bubble can be studied as an effective one-dimensional system through a "holographic" mapping. For the considered model, the emergent interface excitations map to an integrable chain of fermionic particles. We discuss how this integrability is broken by geometric features of the bubbles and by corrections in inverse powers of the ferromagnetic coupling, and provide a lower bound to the timescale after which the bubble is ultimately expected to melt. Remarkably, we demonstrate that a symmetry-breaking longitudinal field gives rise to a robust ergodicity breaking in two dimensions, a phenomenon underpinned by Stark many-body localization of the emergent fermionic excitations of the interface.

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“…Non-equilibrium dynamics already provided us with a plethora of interesting phenomena, ranging from negative temperature states [1,2] through universal scaling across quantum phase transitions [3][4][5][6] to thermalization dynamics [7][8][9]. In this context, recently there has been a large surge of interest in understanding and analyzing confinement in spin chains [10][11][12][13][14]. Not only is it related to many body localization and slow entanglement dynamics [15][16][17], but confinement is also responsible for creating bound states of several interacting particles [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\textrm{SU}(N)$ Hubbard Models

Werner¹,

Moca²,

Kormos³

et al. 2022

Preprint

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Particle formation represents a central theme in various branches of physics, often associated to confinement. Here we show that dynamical hadron formation can be spectroscopically detected in an ultracold atomic setting within the most paradigmatic and simplest model of condensed matter physics, the repulsive SU(N ) Hubbard model. By starting from an appropriately engineered initial state of the SU(3) Hubbard model, not only mesons (doublons) but also baryons (trions) are naturally generated during the time evolution. In the strongly interacting limit, baryons become heavy and attract each other strongly, and their residual interaction with mesons generates meson diffusion, as captured by the evolution of the equal time density correlation function. Hadrons remain present in the long time limit, while the system thermalizes to a negative temperature state. Our conclusions extend to a large variety of initial conditions, all spatial dimensions, and for SU(N > 2) Hubbard models.

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Prethermalization in one-dimensional quantum many-body systems with confinement

Cited by 3 publications

References 50 publications

A quantum information perspective on meson melting

A quantum information perspective on meson melting

Localization and melting of interfaces in the two-dimensional quantum Ising model

Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\textrm{SU}(N)$ Hubbard Models

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