Entanglement of two-mode Bose-Einstein condensates

Hines, Andrew P.; McKenzie, Ross H.; Milburn, G. J.

doi:10.1103/physreva.67.013609

Cited by 168 publications

(226 citation statements)

References 32 publications

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“…entanglement of formation, entanglement of distillation, negativity), A and B each control some subset of the total modes, and ρ AB is the total state shared by A and B. This approach is advocated in, for example, [16,26,27]. The entanglement of modes depends on which modes A and B control, as discussed in [28,29], but not on the local mode decomposition that they choose.…”

Section: Superselection Rules Measurements and Accessible Entangmentioning

confidence: 99%

Entanglement of indistinguishable particles in condensed-matter physics

2006

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The concept of entanglement in systems where the particles are indistinguishable has been the subject of much recent interest and controversy. In this paper we study the notion of entanglement of particles introduced by Wiseman and Vaccaro [Phys. Rev. Lett. 91, 097902 (2003)] in several specific physical systems, including some that occur in condensed matter physics. The entanglement of particles is relevant when the identical particles are itinerant and so not distinguished by their position as in spin models. We show that entanglement of particles can behave differently to other approaches that have been used previously, such as entanglement of modes (occupation-number entanglement) and the entanglement in the two-spin reduced density matrix. We argue that the entanglement of particles is what could actually be measured in most experimental scenarios and thus its physical significance is clear. This suggests entanglement of particles may be useful in connecting theoretical and experimental studies of entanglement in condensed matter systems.

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Section: Superselection Rules Measurements and Accessible Entangmentioning

confidence: 99%

Entanglement of indistinguishable particles in condensed-matter physics

2006

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“…which is the von Neumann entropy of the reduced density operator of either of the subsystems [29]. In the present system, the maximal entanglement also can be obtain by optimizing the expression (18) with respect to |c m | 2 .…”

Section: Entanglement Of the Ground Statementioning

confidence: 95%

Quantum entanglement and phase transition in a two-dimensional photon–photon pair model

Zhang

Yuan

Zhang

et al. 2013

Physica B: Condensed Matter

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We propose a two-dimensional model consisting of photons and photon pairs. In the model, the mixed gas of photons and photon pairs is formally equivalent to a two-dimensional system of massive bosons with non-vanishing chemical potential, which implies the existence of two possible condensate phases. Using the variational method, we discuss the quantum phase transition of the mixed gas and obtain the critical coupling line analytically. Moreover, we also find that the phase transition of the photon gas can be interpreted as second harmonic generation. We then discuss the entanglement between photons and photon pairs. Additionally, we also illustrate how the entanglement between photons and photon pairs can be associated with the phase transition of the system.

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“…The conclusion follows by using the operator monotonicity 7 of the square root function, i.e., the fact that if S ഛ T then…”

Section: Theorem 1 (Eigenspace Perturbation Theorem)mentioning

confidence: 99%

“…Some recent work on this problem, with further references, includes Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]32]. This work has been motivated by the remarkable recent progress in using entanglement as a physical resource to accomplish feats such as quantum computation and quantum teleportation.…”

Section: Introductionmentioning

confidence: 99%

Frustration, interaction strength, and ground-state entanglement in complex quantum systems

Dawson

Nielsen

2004

Phys. Rev. A

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Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian. We quantify this phenomenon, demonstrating an analogy between ground-state entanglement and the phenomenon of frustration in spin systems. In particular, we prove that the amount of ground-state entanglement is bounded above by a measure of the extent to which interactions frustrate the local terms in the Hamiltonian. As a corollary, we show that the amount of ground-state entanglement is bounded above by a ratio between parameters characterizing the strength of interactions in the system, and the local energy scale. Finally, we prove a qualitatively similar result for other energy eigenstates of the system.

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Entanglement of two-mode Bose-Einstein condensates

Cited by 168 publications

References 32 publications

Entanglement of indistinguishable particles in condensed-matter physics

Entanglement of indistinguishable particles in condensed-matter physics

Quantum entanglement and phase transition in a two-dimensional photon–photon pair model

Frustration, interaction strength, and ground-state entanglement in complex quantum systems

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