Entanglement in a second-order quantum phase transition (4 pages)

By J. Vidal, G. Palacios, R. Mosseri. 2003

214 citations recorded by the source corpus.

We consider a system of mutually interacting spins 1/2 embedded in a transverse magnetic field which undergoes a second-order quantum phase transition. We analyze the entanglement properties and the spin squeezing of the ground state and show that, contrarily to the one-dimensional case, a cusplike singularity appears at the critical point {lambda}{sub c} in the thermodynamical limit. We also show that there exists a value {lambda}{sub 0}{>=}{lambda}{sub c} above which the ground state is not spin squeezed despite a nonvanishing concurrence.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/7e5d8545da4a42637ba1bb1fd767d56a8f11d7ab

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Franco Nori
2. Rosario Fazio
3. Chang-pu Sun
4. Luigi Amico
5. Xiaoguang Wang
6. Jian Ma
7. A. Osterloh
8. Vlatko Vedral

In Atomic and Molecular Physics, and Optics

1. Franco Nori
2. Chang-pu Sun
3. Xiaoguang Wang
4. Rosario Fazio
5. Jian Ma
6. Luigi Amico
7. A. Osterloh
8. Vlatko Vedral

Citations in the corpus

• Entanglement in many-body systems (2007, methodology): “The analysis of critical entanglement at the first order quantum critical point of the antiferromagnetic LMG model shows that (Vidal et al., 2004a) the discontinuity is observed directly in the concurrence also for spin interacting with a long-range, see Fig.4. b. Pairwise entanglement in…”
• Quantum spin squeezing (2010, methodology): “[263] found that at the critical point ξ 2 S ∼ 1/N −0.”
• Quantum metrology with nonclassical states of atomic ensembles (2016, background): “Entanglement (Buonsante et al., 2012; Ma and Wang, 2009; Mazzarella et al., 2011; Orús et al., 2008; Vidal et al., 2004) and fluctuations of the order parameter (Ziń et al., 2008) approaching the transition point have been extensively studied.”
• Bounds on the capacity and power of quantum batteries (2018, background): “, the initial state) is also an eigenstate of HLMG, when N → ∞ [22].”