Entanglement Dynamics in Spin Chains with Structured Long-Range Interactions

Bentsen, Gregory; Daley, Andrew J.; Schachenmayer, Johannes

doi:10.1007/978-3-031-03998-0_11

Cited by 3 publications

(2 citation statements)

References 81 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Very recently, there has been a growing interest in models with long-range interactions [44], also due to dramatic experimental progress [45]. Concomitantly, there has been a rise in the interest in characterizing entanglement properties of long-range quantum many-body systems [46,47,48,49,50,51,52,53,54,55,56].…”

Section: Introductionmentioning

confidence: 99%

Entanglement gap in 1D long-range quantum spherical models

Wald¹,

Arias²,

Alba³

2023

Preprint

View full text Add to dashboard Cite

We investigate the finite-size scaling of the entanglement gap in the onedimensional long-range quantum spherical model (QSM). We focus on the weak longrange QSM, for which the thermodynamic limit is well-defined. This model exhibits a continuous phase transition, separating a paramagnetic from a ferromagnet phase. The universality class of the transition depends on the long-range exponent α. We show that in the thermodynamic limit the entanglement gap is finite in the paramagnetic phase, and it vanishes in the ferromagnetic phase. In the ferromagnetic phase the entanglement gap is understood in terms of standard magnetic correlation functions. The entanglement gap decays as δξ ≃ C α L −(1 2−α 4) , where the constant C α depends on the low-energy properties of the model. This reflects that the lower part of the dispersion is affected by the long range physics. Finally, multiplicative logarithmic corrections are absent in the scaling of the entanglement gap, in contrast with the higher-dimensional case.

show abstract

Section: Introductionmentioning

confidence: 99%

Entanglement gap in 1D long-range quantum spherical models

Wald¹,

Arias²,

Alba³

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…This has changed very recently with the growing interest in models with long-range interactions [44], driven by the dramatic experimental progress [45]. Concomitantly, there has been a rise in the interest in characterizing entanglement properties of long-range quantum many-body systems [46][47][48][49][50][51][52][53][54][55][56][57]. Here we will consider one such model with long-range interactions that allows to quantify a variety of entanglement properties analytically.…”

Section: Introductionmentioning

confidence: 99%

Entanglement gap in 1D long-range quantum spherical models

Wald

Arias

Alba

2023

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

We investigate the finite-size scaling of the entanglement gap in the one-dimensionallong-range quantum spherical model (QSM). We focus on the weak long-rangeQSM, for which the thermodynamic limit is well-defined. This model exhibits acontinuous phase transition, separating a paramagnetic from a ferromagnet phase. Theuniversality class of the transition depends on the long-range exponent \alpha. We showthat in the thermodynamic limit the entanglement gap is finite in the paramagneticphase, and it vanishes in the ferromagnetic phase. In the ferromagnetic phase theentanglement gap is understood in terms of standard magnetic correlation functions.The entanglement gap decays as \delta\xi ≃ C_\alpha L^{-(1/2-\alpha/4)}, where the constant C_\alpha dependson the low-energy properties of the model. This reflects that the lower part of thedispersion is affected by the long range physics. Finally, multiplicative logarithmiccorrections are absent in the scaling of the entanglement gap, in contrast with thehigher-dimensional case.

show abstract