Thermal transport in a two-dimensional 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>
 spin liquid

Metavitsiadis, Alexandros; Pidatella, Angelo; Brenig, Wilhelm

doi:10.1103/physrevb.96.205121

Cited by 37 publications

(46 citation statements)

References 88 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As the temperature is increased, there are qualitative changes in the RIXS response at the two characteristic temperature scales T L ≈ ∆ and T H ≈ J, which can be identified as indirect signatures of the flux and fermion excitations, respectively. At temperatures T T L , thermally excited fluxes behave like disorder from the perspective of the fermions [69], and fermion momentum is therefore no longer a good quantum number. As a result of this effective disorder, the quasi-sharp features of the zero-temperature RIXS response disappear.…”

Section: Resultsmentioning

confidence: 99%

“…The main result of this work is the calculation of the RIXS response at finite temperature, which first requires a finite-temperature formulation of the underlying Kitaev model Instead of a full and numerically costly Monte Carlo sampling of flux excitations [59], a quantitative approximation of the finite-temperature behavior is obtained by taking a random average over "typical" flux sectors and solving the free-fermion problem in each flux sector exactly [69]. Each "typical" flux sector at temperature T is obtained by creating two flux excitations around each bond with probability P T such that the resulting probability of a flux excitation at any plaquette is…”

Section: Finite-temperature Responsementioning

confidence: 99%

See 1 more Smart Citation

Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering

et al. 2019

View full text Add to dashboard Cite

Motivated by the ongoing effort to search for high-resolution signatures of quantum spin liquids, we investigate the temperature dependence of the indirect resonant inelastic x-ray scattering (RIXS) response for the Kitaev honeycomb model. We find that, as a result of spin fractionalization, the RIXS response changes qualitatively at two well-separated temperature scales, TL and TH , which correspond to the characteristic energies of the two kinds of fractionalized excitations, Z2 gauge fluxes and Majorana fermions, respectively. While thermally excited Z2 gauge fluxes at temperature TL lead to a general broadening and softening of the response, the thermal proliferation of Majorana fermions at temperature TH ∼ 10 TL results in a significant shift of the spectral weight, both in terms of energy and momentum. Due to its exclusively indirect nature, the RIXS process we consider gives rise to a universal magnetic response and, from an experimental perspective, it directly corresponds to the K-edge of Ru 3+ in the Kitaev candidate material α-RuCl3. 1S 4d 5p V † n † n 0 † n n 0 n n 0 k, ! k k 0 , ! k 0 rA,l rB,l J x(r) J y(r) J z(r)

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Finite-temperature Responsementioning

confidence: 99%

Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering

et al. 2019

View full text Add to dashboard Cite

show abstract

“…Even without quenched disorder, many-body localized behavior can still arise in interacting nonintegrable models [37][38][39][40][41][42][43][44][45][46][47][48]. For example, the quench dynamics of a chain of interacting spinless fermions in the presence of a constant electric field will exhibit Stark-MBL [42], and this has been experimentally demonstrated using superconducting qubits [49,50].…”

mentioning

confidence: 99%

Enhancing disorder-free localization through dynamically emergent local symmetries

Halimeh¹,

Homeier²,

Zhao³

et al. 2021

Preprint

View full text Add to dashboard Cite

Disorder-free localization is a recently discovered phenomenon of nonergodicity that can emerge in quantum many-body systems hosting gauge symmetries when the initial state is prepared in a superposition of gauge superselection sectors. Thermalization is then prevented up to all accessible evolution times despite the model being nonintegrable and translation-invariant. In a recent work [Halimeh, Zhao, Hauke, and Knolle, arXiv:2111.02427], it has been shown that terms linear in the gauge-symmetry generator stabilize disorder-free localization in U(1) gauge theories against gauge errors that couple different superselection sectors. Here, we show in the case of Z2 gauge theories that disorder-free localization can not only be stabilized, but also enhanced by the addition of translationinvariant terms linear in a local Z2 pseudogenerator that acts identically to the full generator in a single superselection sector, but not necessarily outside of it. We show analytically and numerically how this leads through the quantum Zeno effect to the dynamical emergence of a renormalized gauge theory with an enhanced local symmetry, which contains the Z2 gauge symmetry of the ideal model, associated with the Z2 pseudogenerator. The resulting proliferation of superselection sectors due to this dynamically emergent gauge theory creates an effective disorder greater than that in the original model, thereby enhancing disorder-free localization. We demonstrate the experimental feasibility of the Z2 pseudogenerator by providing a detailed readily implementable experimental proposal for the observation of disorder-free localization in a Rydberg setup. CONTENTS

show abstract

“…This gauge invariance is manifest as, e.g., Gauss's law in quantum electrodynamics (QED), which is what leads to a massless photon and a long-ranged Coulomb law. Furthermore, intriguing salient features from a condensed matter perspective also arise in LGTs, such as quantum many-body scars [39,40] and disorder-free localization [41][42][43][44][45][46][47][48][49][50], which are newly discovered paradigms of ergodicity breaking even in certain cases when the underlying model is itself ergodic. From a technological point of view, the reliability and stability of gauge invariance is crucial in modern QSM realizations of LGTs involving both matter and gauge degrees of freedom, where gauge-breaking errors are unavoidable due to the plethora of local constraints to be controlled.…”

mentioning

confidence: 99%

Achieving the quantum field theory limit in far-from-equilibrium quantum link models

Halimeh,

Van Damme,

Zache

et al. 2021

Preprint

View full text Add to dashboard Cite

Realizations of gauge theories in setups of quantum synthetic matter open up the possibility of probing salient exotic phenomena in condensed matter and high-energy physics, along with potential applications in quantum information and science technologies. In light of the impressive ongoing efforts to achieve such realizations, a fundamental question regarding quantum link model regularizations of lattice gauge theories is how faithfully they capture the quantum field theory limit of gauge theories. Recent work [Zache, Van Damme, Halimeh, Hauke, and Banerjee, arXiv:2104.00025] has shown through analytic derivations, exact diagonalization, and infinite matrix product state calculations that the low-energy physics of U(1) quantum link models approaches the quantum field theory limit already at small link spin length S. Here, we show that the approach to this limit also lends itself to the far-from-equilibrium quench dynamics of lattice gauge theories, as demonstrated by our numerical simulations of the Loschmidt return rate and the chiral condensate in infinite matrix product states, which work directly in the thermodynamic limit. Similar to our findings in equilibrium that show a distinct behavior between half-integer and integer link spin lengths, we find that criticality emerging in the Loschmidt return rate is fundamentally different between half-integer and integer spin quantum link models in the regime of strong electric-field coupling. Our results further affirm that state-of-the-art finite-size ultracold-atom and NISQ-device implementations of quantum link lattice gauge theories have the real potential to simulate their quantum field theory limit even in the far-from-equilibrium regime.

show abstract

Thermal transport in a two-dimensional Z2 spin liquid

Cited by 37 publications

References 88 publications

Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering

Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering

Enhancing disorder-free localization through dynamically emergent local symmetries

Achieving the quantum field theory limit in far-from-equilibrium quantum link models

Contact Info

Product

Resources

About