Quantum phase transitions in a generalized compass chain with three-site interactions

You, Wen-Long; Qiu, Yu-Cheng; Oleś, Andrzej M.

doi:10.1103/physrevb.93.214417

Cited by 22 publications

(13 citation statements)

References 82 publications

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“…Note that τ k is always positive for any momentum k. We remark that the energy spectrum ε k,j (j = 1, 2) is thus always positive which is different from the compass spin chain with the (XZY−YZX)-type of three-site interaction [37]. The form of F k (15) leads to a crossing of excitations at k = ±π/2 for diverse values of K, see Fig.…”

Section: Quantum Phase Transitionmentioning

confidence: 90%

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Emergent phases in a compass chain with multisite interactions

You

Zhang

et al. 2017

Phys. Rev. B

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We study a dimerised spin chain with biaxial magnetic interacting ions in the presence of an externally induced three-site interactions out of equilibrium. In the general case, the three-site interactions play a role in renormalizing the effective uniform magnetic field. We find that the existence of zero-energy Majorana modes is intricately related to the sign of Pfaffian of the Bogoliubov-de Gennes Hamiltonian and the relevant Z2 topological invariant. In contrast, we show that an exotic spin liquid phase can emerge in the compass limit through a Berezinskii-Kosterlitz-Thouless (BKT) quantum phase transition. Such a BKT transition is characterized by a large dynamic exponent z = 4, and the spin-liquid phase is robust under a uniform magnetic field. We find the relative entropy and the quantum discord can signal the BKT transitions. We also uncover a few differences in deriving the correlation functions for the systems with broken reflection symmetry.

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Section: Quantum Phase Transitionmentioning

confidence: 90%

“…In the representation spanned by the two-qubit product states we employ the following basis, (37) where |0 (|1 ) denotes spin up (down) state, the two-site density matrix can be expressed as,…”

Section: B Coherence Susceptibilitymentioning

confidence: 99%

Emergent phases in a compass chain with multisite interactions

You

Zhang

et al. 2017

Phys. Rev. B

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“…As the core of quantum physics and quantum information, there are many important applications in various quantum tasks, such as quantum computation and quantum communication. There are many related studies [18,28,64,67,68]. A well-defined and frequently used coherence measure is Wigner-Yanase skew information (WYSI), which has some clear physical meanings, such as it is equal to the optimal distillation rate for standard coherence distillation, and can also be interpreted as the minimal amount of noise required to achieve full decoherence of the state under discussion.…”

Section: The Information Measuresmentioning

confidence: 99%

Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction

You

et al. 2019

Phys. Rev. B

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In this work, we address the ground state properties of the anisotropic spin-1/2 Heisenberg XYZ chain under the interplay of magnetic fields and the Dzyaloshinskii-Moriya (DM) interaction which we interpret as an electric field. The identification of the regions of enhanced sensitivity determines criticality in this model. We calculate the Wigner-Yanase skew information (WYSI) as a coherence witness of an arbitrary two-qubit state under specific measurement bases. The WYSI is demonstrated to be a good indicator for detecting the quantum phase transitions. The finite-size scaling of coherence susceptibility is investigated. We find that the factorization line in the antiferromagnetic phase becomes the factorization volume in the gapless chiral phase induced by DM interactions, implied by the vanishing concurrence for a wide range of field. We also present the phase diagram of the model with three phases: antiferromagnetic, paramagnetic, and chiral, and point out a few common mistakes in deriving the correlation functions for the systems with broken reflection symmetry.

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“…This entanglement is the quantum resource, which is used in quantum computations and simulations [2][3][4][5][6][7][8][9][10][11][12][13]22]. Some exotic quantum simulations demand to simultaneously control the interactions of three atoms [22][23][24][25][26][27][28]. This demands a three-body quantum operator that changes the states of the three qubits simultaneously and makes them all entangled.…”

mentioning

confidence: 99%

Observation of the Borromean Three-Body Förster Resonances for Three Interacting Rb Rydberg Atoms

et al. 2017

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Three-body Förster resonances at long-range interactions of Rydberg atoms were first predicted and observed in Cs Rydberg atoms by Faoro et al. [Nat. Commun. 6, 8173 (2015)NCAOBW2041-172310.1038/ncomms9173]. In these resonances, one of the atoms carries away an energy excess preventing the two-body resonance, leading thus to a Borromean type of Förster energy transfer. But they were in fact observed as the average signal for the large number of atoms N≫1. In this Letter, we report on the first experimental observation of the three-body Förster resonances 3×nP_{3/2}(|M|)→nS_{1/2}+(n+1)S_{1/2}+nP_{3/2}(|M^{*}|) in a few Rb Rydberg atoms with n=36, 37. We have found here clear evidence that there is no signature of the three-body Förster resonance for exactly two interacting Rydberg atoms, while it is present for N=3-5 atoms. This demonstrates the assumption that three-body resonances can generalize to any Rydberg atom. As such resonance represents an effective three-body operator, it can be used to directly control the three-body interactions in quantum simulations and quantum information processing with Rydberg atoms.

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Quantum phase transitions in a generalized compass chain with three-site interactions

Cited by 22 publications

References 82 publications

Emergent phases in a compass chain with multisite interactions

Emergent phases in a compass chain with multisite interactions

Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction

Observation of the Borromean Three-Body Förster Resonances for Three Interacting Rb Rydberg Atoms

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