Unruh effect for interacting particles with ultracold atoms

Kosior, Arkadiusz; Lewenstein, Maciej; Celi, Alessio

doi:10.21468/scipostphys.5.6.061

Cited by 31 publications

(34 citation statements)

References 162 publications

(237 reference statements)

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“…The predictive power of the BW theorem on the lattice has been broadly verified regarding the low-lying entanglement spectrum and correlation functions [15,16,[28][29][30][31][32][33][34][35][36][37]. While these results represent a promising first step, they are not informative on the capability of the BW-EH to capture entanglement measures, since: (1) they are limited to some observables and do not shed light on the exact structure of the EH (which has been discussed only for free theories and for some gapped phases under specific conditions), and (2) they cannot be extended (in a scalable way) to calculate the full entanglement spectrum for interacting theories, and they are in fact limited to only few dozens eigenvalues for symmetry sector.…”

Section: Thermodynamics Of Entanglement Hamiltoniansmentioning

confidence: 88%

Measuring von Neumann entanglement entropies without wave functions

Mendes-Santos¹,

Giudici²,

Fazio³

et al. 2020

New J. Phys.

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We present a method to measure the von Neumann entanglement entropy of ground states of quantum many-body systems which does not require access to the system wave function. The technique is based on a direct thermodynamic study of lattice entanglement Hamiltonians-recently proposed in the paper [Dalmonte et al 2018 Nat. Phys. 14 827] via field theoretical insights-and can be performed by quantum Monte Carlo methods. We benchmark our technique on critical quantum spin chains, and apply it to several two-dimensional quantum magnets, where we are able to unambiguously determine the onset of area law in the entanglement entropy, the number of Goldstone bosons, and to check a recent conjecture on geometric entanglement contribution at critical points described by strongly coupled field theories. The protocol can also be adapted to measure entanglement in experiments via quantum quenches.

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Section: Thermodynamics Of Entanglement Hamiltoniansmentioning

confidence: 88%

Measuring von Neumann entanglement entropies without wave functions

Mendes-Santos¹,

Giudici²,

Fazio³

et al. 2020

New J. Phys.

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show abstract

“…We stress that, unlike previous studies that were mostly concerned with the low-lying part of the entanglement spectrum (ES), eigenvectors, and correlators 24,27,28,32,33 , we focus here on properties of the full reduced density matrix, such as momenta of the ES distribution (i.e., the REs) and properties that depend on all the eigenvectors (i.e., the norm distance). While the analysis of the size scaling of the REs allows us to check if ρ BW captures universal properties of the system, the norm distance probes if indeed ρ BW is able to reproduce accurately the actual state of the subsystem.…”

Section: Diagnostics For the Accuracy Of The Bisognano-wichmann Enmentioning

confidence: 99%

“…As discussed in Refs. 24,25,[27][28][29][30][31][32][33], the corresponding reduced density matrix, ρ BW , although not generically exact, accurately reproduces not just the low-lying entanglement spectrum, but also properties directly related to its eigenvectors, such as correlation functions and order parameters 28 . Furthermore, the von Neumann entropy obtained from ρ BW , i.e.…”

Section: Introductionmentioning

confidence: 99%

Entanglement Hamiltonian of quantum critical chains and conformal field theories

et al. 2019

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We consider a lattice version of the Bisognano-Wichmann (BW) modular Hamiltonian as an ansatz for the bipartite entanglement Hamiltonian of the quantum critical chains. Using numerically unbiased methods, we check the accuracy of the BW-ansatz by both comparing the BW Rényi entropy to the exact results, and by investigating the size scaling of the norm distance between the exact reduced density matrix and the BW one. Our study encompasses a variety of models, scanning different universality classes, including transverse field Ising, Potts and XXZ chains. We show that the Rényi entropies obtained via the BW ansatz properly describe the scaling properties predicted by conformal field theory. Remarkably, the BW Rényi entropies faithfully capture also the corrections to the conformal field theory scaling associated to the energy density operator. In addition, we show that the norm distance between the discretized BW density matrix and the exact one asymptotically goes to zero with the system size: this indicates that the BW-ansatz can be also employed to predict properties of the eigenvectors of the reduced density matrices, and is thus potentially applicable to other entanglement-related quantities such as negativity.

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“…Recent experimental work includes the observation of a classical mode conversion that underlies the Hawking effect in the quantum theory [28], the observation of classical superradiance [29], the observation of quantum phenomena characteristic of an expanding cosmology [30], and observations interpreted as analogue Hawking radiation [31,32]. Laboratory analogues of the Unruh effect have been proposed in a Bose-Einstein condensate [33] and in ultracold fermionic atoms in an optical lattice [34,35], and related proposals are discussed in [36,37]. A laboratory analogue of the Gibbons-Hawking effect, a curved spacetime counterpart of the Unruh effect, has been proposed in [38,39].…”

Section: Introductionmentioning

confidence: 99%

“…The purpose of this paper is to provide new evidence that the optical lattice proposal of [34,35] has the requisite properties to simulate the Unruh effect, despite having energetic and causal properties that differ from those in the usual setting of the Unruh effect.…”

Section: Introductionmentioning

confidence: 99%

Thermality from a Rindler quench

Louko¹

2018

Class. Quantum Grav.

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Ultracold fermionic atoms in an optical lattice, with a sudden position-dependent change (a quench) in the effective dispersion relation, have been proposed by Rodríguez-Laguna et al. as an analogue spacetime test of the Unruh effect. We provide new support for this analogue by analysing a massless scalar field on a (1 + 1)-dimensional continuum spacetime with a similar quench: an early time Minkowski region is joined at a constant time surface, representing the quench, to a late time static region in which left and right asymptotically Rindler domains are connected by a smooth negative curvature bridge. We show that the quench is energetically mild, and late time static observers, modelled as a derivative-coupling Unruh-DeWitt detector, see thermality, in a temperature that equals the Unruh temperature for observers in the asymptotic Rindler domains. The Unruh effect hence prevails, despite the energy injected into the field by the quench and despite the absence of a late time Killing horizon. These results strengthen the motivation to realise the experimental proposal.

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Unruh effect for interacting particles with ultracold atoms

Cited by 31 publications

References 162 publications

Measuring von Neumann entanglement entropies without wave functions

Measuring von Neumann entanglement entropies without wave functions

Entanglement Hamiltonian of quantum critical chains and conformal field theories

Thermality from a Rindler quench

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