Yangian descendants of Haldane-Shastry eigenstates are constructed by ABA inside each motif multiplet, with norms given by a Gaudin determinant times a simple product and on/off-shell overlaps by a Slavnov determinant.
What is an integrable quench?
4 Pith papers cite this work, alongside 210 external citations. Polarity classification is still indexing.
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abstract
Inspired by classical results in integrable boundary quantum field theory, we propose a definition of integrable initial states for quantum quenches in lattice models. They are defined as the states which are annihilated by all local conserved charges that are odd under space reflection. We show that this class includes the states which can be related to integrable boundary conditions in an appropriate rotated channel, in loose analogy with the picture in quantum field theory. Furthermore, we provide an efficient method to test integrability of given initial states. We revisit the recent literature of global quenches in several models and show that, in all of the cases where closed-form analytical results could be obtained, the initial state is integrable according to our definition. In the prototypical example of the XXZ spin-s chains we show that integrable states include two-site product states but also larger families of matrix product states with arbitrary bond dimension. We argue that our results could be practically useful for the study of quantum quenches in generic integrable models.
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A form-factor-based framework is introduced for expectation values after an integrable boundary quantum quench in the Lee-Yang model and validated numerically via adapted truncated conformal space approach.
A framework is proposed for 2n-site chiral integrable matrix product states in the ABJM spin chain from reflection equations, with exact overlap formulas for four-site states and numerical checks of subspaces.
Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.
citing papers explorer
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Norms, overlaps and Yangian descendants for the Haldane-Shastry spin chain
Yangian descendants of Haldane-Shastry eigenstates are constructed by ABA inside each motif multiplet, with norms given by a Gaudin determinant times a simple product and on/off-shell overlaps by a Slavnov determinant.
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Expectation values after an integrable boundary quantum quench
A form-factor-based framework is introduced for expectation values after an integrable boundary quantum quench in the Lee-Yang model and validated numerically via adapted truncated conformal space approach.
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Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations
A framework is proposed for 2n-site chiral integrable matrix product states in the ABJM spin chain from reflection equations, with exact overlap formulas for four-site states and numerical checks of subspaces.
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Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.