Quench dynamics in two-dimensional integrable SUSY models

Cubero, Axel Cortés; Mussardo, Giuseppe; Panfil, Miłosz

doi:10.1088/1742-5468/2016/03/033115

Cited by 7 publications

(6 citation statements)

References 109 publications

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“…In the context of quantum field theory in one spatial dimension, quenches to integrable models have been widely considered [27][28][29][30][31][32][33][34][35][36][37][38][39][40]. However, much less is known about the dynamics of quenches to non-integrable quantum field theories; for integrable pre-quench dynamics, a perturbative approach was proposed in [34].…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian truncation approach to quenches in the Ising field theory

et al. 2016

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In contrast to lattice systems where powerful numerical techniques such as matrix product state based methods are available to study the non-equilibrium dynamics, the non-equilibrium behaviour of continuum systems is much harder to simulate. We demonstrate here that Hamiltonian truncation methods can be efficiently applied to this problem, by studying the quantum quench dynamics of the 1+1 dimensional Ising field theory using a truncated free fermionic space approach. After benchmarking the method with integrable quenches corresponding to changing the mass in a free Majorana fermion field theory, we study the effect of an integrability breaking perturbation by the longitudinal magnetic field. In both the ferromagnetic and paramagnetic phases of the model we find persistent oscillations with frequencies set by the low-lying particle excitations not only for small, but even for moderate size quenches. In the ferromagnetic phase these particles are the various non-perturbative confined bound states of the domain wall excitations, while in the paramagnetic phase the single magnon excitation governs the dynamics, allowing us to capture the time evolution of the magnetisation using a combination of known results from perturbation theory and form factor based methods. We point out that the dominance of low lying excitations allows for the numerical or experimental determination of the mass spectra through the study of the quench dynamics.Comment: v2: clarifications in abstract and introduction; references added; typos correcte

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Section: Introductionmentioning

confidence: 99%

Hamiltonian truncation approach to quenches in the Ising field theory

et al. 2016

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“…The singleparticle Green's function (q = 1) is accessible through scanning tunneling spectroscopy [20,21]. We stress that the features in the correlation functions are dynamical consequences of SUSY, which are less frequently considered than ground-state consequences [55,56].…”

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confidence: 99%

Supersymmetry in the Standard Sachdev-Ye-Kitaev Model

Behrends

Béri

2020

Phys. Rev. Lett.

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Supersymmetry is a powerful concept in quantum many-body physics. It helps to illuminate ground state properties of complex quantum systems and gives relations between correlation functions. In this work, we show that the Sachdev-Ye-Kitaev model, in its simplest form of Majorana fermions with random four-body interactions, is supersymmetric. In contrast to existing explicitly supersymmetric extensions of the model, the supersymmetry we find requires no relations between couplings. The type of supersymmetry and the structure of the supercharges are entirely set by the number of interacting Majorana modes, and are thus fundamentally linked to the model's Altland-Zirnbauer classification. The supersymmetry we uncover has a natural interpretation in terms of a one-dimensional topological phase supporting Sachdev-Ye-Kitaev boundary physics, and has consequences away from the ground state, including in q-body dynamical correlation functions.

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“…In certain models there are analytic methods to determine these overlaps approximately [66][67][68], or alternatively, they can be obtained numerically using truncated Hamiltonian methods [69,70]. When the post-quench dynamics is integrable, the knowledge of the overlaps opens the way for an analytic treatment of the dynamics [33,49,66,67,[71][72][73][74][75][76][77].…”

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Perturbative post-quench overlaps in quantum field theory

Hódsági

Kormos

Takács

2019

J. High Energ. Phys.

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In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum field theories where either the pre-quench or the post-quench Hamiltonian is integrable. Using the E 8 Ising field theory for concrete computations, we give explicit expressions for the overlaps up to second order in the quench size, and verify our results against numerical results obtained using the Truncated Conformal Space Approach. We demonstrate that the expansion using the post-quench basis is very effective, but find some serious limitations for the alternative approach using the pre-quench basis.

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Quench dynamics in two-dimensional integrable SUSY models

Cited by 7 publications

References 109 publications

Hamiltonian truncation approach to quenches in the Ising field theory

Hamiltonian truncation approach to quenches in the Ising field theory

Supersymmetry in the Standard Sachdev-Ye-Kitaev Model

Perturbative post-quench overlaps in quantum field theory

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