Confinement and bound states of bound states in a transverse-field two-leg Ising ladder

Ramos, Flávia B.; Lencsés, Máté; Xavier, J. C.; Pereira, Rodrigo G.

doi:10.1103/physrevb.102.014426

Cited by 14 publications

(11 citation statements)

References 47 publications

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“…Ergodicity breaking (in a disorder-free setting) may also occur when imposing externals fields: Refs. [34][35][36][37][38][39][40][41][42] show that for the case of a transverse field quantum Ising model, where an additionally applied longitudinal field leads to the confinement of excitations. This inhibits propagation of quasi-particles and thus prevents relaxation towards an ergodic steady state.…”

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confidence: 99%

Emergent Bloch Oscillations in a Kinetically Constrained Rydberg Spin Lattice

2021

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We explore the relaxation dynamics of elementary spin clusters in a kinetically constrained spin system. Inspired by experiments with Rydberg lattice gases, we focus on the situation in which an excited spin leads to a "facilitated" excitation of a neighboring spin. We show that even weak interactions that extend beyond nearest neighbors can have a dramatic impact on the relaxation behavior: they generate a linear potential, which under certain conditions leads to the onset of Bloch oscillations of spin clusters. These hinder the expansion of a cluster and more generally the relaxation of many-body states towards equilibrium. This shows that non-ergodic behavior in kinetically constrained systems may occur as a consequence of the interplay between reduced connectivity of many-body states and weak interparticle interactions. We furthermore show that the emergent Bloch oscillations identified here can be detected in experiment through measurements of the Rydberg atom density, and discuss how spin-orbit coupling between internal and external degrees of freedom of spin clusters can be used to control their relaxation behavior.

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confidence: 99%

Emergent Bloch Oscillations in a Kinetically Constrained Rydberg Spin Lattice

2021

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“…The unitary dynamics from the reset state |j (j = 1, 2), |ψ j (τ ) = exp(−iHτ ) |j (setting = 1), between consecutive resets stems therefore from a quench of the transverse field from the pre-quench h 0 = 0 to the post-quench value h [46][47][48][49][50][51][52][53][55][56][57][58][59][60][61][62][63]. The experimental motivation behind the conditional reset protocol comes from recent results on Rydberg quantum simulators [64], which allow to experimentally implement Ising models with transverse and longitudinal fields [65][66][67][68][69][70][71][72] and permit, at the same time, the spatially resolved detection of the spin state upon which the reset is conditioned. Such measurement has been indeed implemented in Rydberg atoms experiments on quantum quenches of the Ising model [73][74][75][76].…”

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confidence: 99%

Designing nonequilibrium states of quantum matter through stochastic resetting

et al. 2021

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“…We note that the semi-classical approximation to the meson spectrum is also very efficient for one-dimensional lattice magnets a.k.a. spin chains and ladders [16][17][18][19][20][21].…”

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confidence: 99%

Confinement in the tricritical Ising model

Lencsés,

Mussardo,

Takács

2021

Preprint

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We study the leading and sub-leading magnetic perturbations of the thermal E 7 integrable deformation of the tricritical Ising model. In the low-temperature phase, these magnetic perturbations lead to the confinement of the kinks of the model and the resulting meson spectrum can be obtained using the semi-classical quantization. An interesting feature of the quantum field theory coming from the sub-leading magnetic perturbation of the E 7 deformation of the model is the possibility to swap the role of the two perturbations and therefore to use the semi-classical methods for describing the full parameter space of the model. All predictions are verified by comparison to finite volume spectrum resulting from truncated conformal space.

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Confinement and bound states of bound states in a transverse-field two-leg Ising ladder

Cited by 14 publications

References 47 publications

Emergent Bloch Oscillations in a Kinetically Constrained Rydberg Spin Lattice

Emergent Bloch Oscillations in a Kinetically Constrained Rydberg Spin Lattice

Designing nonequilibrium states of quantum matter through stochastic resetting

Confinement in the tricritical Ising model

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