Separable states and geometric phases of an interacting two-spin system

Niu, Chengwang; Xu, Guofu; Liu, Longjiang; Kang, Lei; Tong, D. M.; Kwek, Leong Chuan

doi:10.1103/physreva.81.012116

Cited by 10 publications

(6 citation statements)

References 50 publications

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“…The first additional term in (13) coincides with the result first obtained by Kapitza [7] and it is responsible for the stabilization of inverted pendulums. However, there are terms proportional to 1 Ω.…”

Section: Classical Analogiessupporting

confidence: 87%

Effective Schrödinger equation for fast driven quantum systems

Tretyakov

Agüero

2015

Phys. Scr.

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Effective Schrödinger equations, governing the mean movement of a system influenced by fast oscillating external perturbation, are derived. The method represents a direct and straightforward quantum extension of the Kapitza’s approach provided in the Schrödinger picture. First-order terms (over inverse frequency of external driving) in effective Hamiltonians that cannot be eliminated by a unitary transformation, have been derived. Additional terms, in comparison with a standard equation, are similar to those found in the classical case and they may be responsible for a variety of new interesting effects.

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Section: Classical Analogiessupporting

confidence: 87%

Effective Schrödinger equation for fast driven quantum systems

Tretyakov

Agüero

2015

Phys. Scr.

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“…This result has opened up for simulations of magnetic monopoles in the laboratory [4]. The monopole structure of interacting spin pairs has been examined in several studies in the past [5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 96%

Berry phase and fidelity susceptibility of the three-qubit Lipkin–Meshkov–Glick ground state

Sjöqvist

Rahaman

Basu

et al. 2010

J. Phys. A: Math. Theor.

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Berry phases and quantum fidelities for interacting spins have attracted considerable attention, particularly in relation to entanglement properties of spin systems and quantum phase transitions. These efforts mainly focus either on spin pairs or the thermodynamic infinite spin limit, while studies of the multi-partite case of a finite number of spins are rare. Here we analyze Berry phases and quantum fidelities of the ground state of a Lipkin–Meshkov–Glick model consisting of three spin- particles (qubits). We find explicit expressions for the Berry phase and fidelity susceptibility of the full system as well as the mixed-state Berry phase and partial-state fidelity susceptibility of its one- and two-qubit subsystems. We demonstrate a realization of a nontrivial magnetic monopole structure associated with local, coordinated rotations of the three-qubit system around the external magnetic field.

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“…Besides, another direction of the generalization is to study the composite system GP, especially one considers the relation of GP between the composite system and its subsystems. In general, the GP of the composite system in nonlocal unitary evolution is always not equal to the sum of the GP of its subsystems [39,40], except for the case where the composite system with initial separable state undergoes local unitary evolution [41]. Among these extensions of the GP, one based on mixed-state density operators undergoing nonunitary evolutions has been extensively studied in various contexts.…”

Section: Introductionmentioning

confidence: 99%

Preservation of Quantum Fisher Information and Geometric Phase of a Single Qubit System in a Dissipative Reservoir Through the Addition of Qubits

Guo¹,

Tian²,

Mo³

et al. 2017

Int J Theor Phys

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In this paper, we have investigated the preservation of quantum Fisher information (QFI) of a single-qubit system coupled to a common zero temperature reservoir through the addition of noninteracting qubits. The results show that, the QFI is completely protected in both Markovian and non-Markovian regimes by increasing the number of additional qubits. Besides, the phenomena of QFI display monotonic decay or non-monotonic with revival oscillations depending on the number of additional qubits N −1 in a common dissipative reservoir. If N < Nc( a critical number depending on the reservoirs parameters), the behavior of QFI with monotonic decay occurs. However, if N ≥ Nc, QFI exhibits non-monotonic behavior with revival oscillations. Moreover, we extend this model to investigate the effect of additional qubits N − 1 and the initial conditions of the system on the geometric phase (GP). It is found that, the robustness of GP against the dissipative reservoir has been demonstrated by increasing gradually the number of additional qubits. Besides, the GP is sensitive to the initial parameter θ, and possesses symmetric in a range regime [0, 2π].

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Separable states and geometric phases of an interacting two-spin system

Cited by 10 publications

References 50 publications

Effective Schrödinger equation for fast driven quantum systems

Effective Schrödinger equation for fast driven quantum systems

Berry phase and fidelity susceptibility of the three-qubit Lipkin–Meshkov–Glick ground state

Preservation of Quantum Fisher Information and Geometric Phase of a Single Qubit System in a Dissipative Reservoir Through the Addition of Qubits

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