Fidelity Approach to the Disordered Quantum<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:math>Model

Garnerone, Silvano; Jacobson, Noah Tobias; Haas, Stephan; Zanardi, Paolo

doi:10.1103/physrevlett.102.057205

Cited by 70 publications

(71 citation statements)

References 20 publications

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“…͑7͔͒, and especially the associated fidelity metric ͓Eq. ͑10͔͒, have been shown to be sensitive indicators of continuous transitions, [26][27][28][29][30][31][32][33] and we will see below that these also track level crossings quite well, as in general g exhibits a jump in those cases.…”

Section: Introductionmentioning

confidence: 96%

“…The ground-state fidelity, originally studied in the context of quantum information theory, has been shown to be a sensitive indicator of changes in the ground state of manybody systems, as they occur in quantum phase transitions. [26][27][28][29][30][31][32][33][34] The other two observables of interest we will study are the d-wave and extended-s-wave superconductivity condensate occupations. They will be defined carefully in the next section.…”

Section: Introductionmentioning

confidence: 99%

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Fidelity and superconductivity in two-dimensionalt−Jmodels

2009

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We compute the ground-state fidelity and various correlations to gauge the competition between different orders in two-dimensional t-J-type models. Using exact numerical diagonalization techniques, these quantities are examined for ͑i͒ the plain t-J and t-tЈ-J models, ͑ii͒ for the t-J model perturbed by infinite-range d-wave or extended-s-wave superconductivity inducing terms, and ͑iii͒ the t-J model, plain and with a d-wave perturbation, in the presence of nonmagnetic quenched disorder. Various properties at low hole doping are contrasted with those at low electron filling. In the clean case, our results are consistent with previous work that concluded that the plain t-J model supports d-wave superconductivity. As a consequence of the strong correlations present in the low hole doping regime, we find that the magnitude of the d-wave condensate occupation is small even in the presence of large d-wave superconductivity inducing terms. In the dirty case, we show the robustness of the ground state in the strongly correlated regime against disorder.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Fidelity and superconductivity in two-dimensionalt−Jmodels

2009

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“…Reversing the randomness behavior of the coupling constant and the field with respect to the spin glass Hamiltonian leads to the quantum XY model with a random transverse field (see [27,52] and references therein), with the Hamiltonian Finally, we consider the case of the one-dimensional quantum XY spin glass with random transverse magnetic fields h i applied in the z-direction (see [27,29,[53][54][55][56] and references therein). The Hamiltonian for this model is given by…”

Section: Quantum Xy Model With Random Transverse Magnetic Fieldmentioning

confidence: 99%

Disorder overtakes order in information concentration over quantum networks

et al. 2011

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We consider different classes of quenched disordered quantum XY spin chains, including quantum XY spin glass and quantum XY model with a random transverse field, and investigate the behavior of genuine multiparty entanglement in the ground states of these models. We find that there are distinct ranges of the disorder parameter that gives rise to a higher genuine multiparty entanglement than in the corresponding systems without disorder -an order-from-disorder in genuine multiparty entanglement. Moreover, we show that such a disorder-induced advantage in the genuine multiparty entanglement is useful -it is almost certainly accompanied by a order-from-disorder for a multiport quantum dense coding capacity with the same ground state used as a multiport quantum network.

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“…In ref. 26 the authors applied the fidelity approach to estimate random transitions of a disordered quantum model. They showed that the fidelity susceptibility and its scaling properties provide useful information about the phase diagram.…”

Section: Introductionmentioning

confidence: 99%

Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain

Xue

et al. 2017

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In this work, we use exact matrix diagonalization to explore the many-body localization (MBL) transitions in quantum Ising chains with disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields. It is demonstrated that the fidelity can be used to characterize the interaction-driven MBL transition in this closed spin system in a manner that is consistent with previous analytical and numerical results. We compute the fidelity for high-energy many-body eigenstates, namely, the excited-state fidelity. It is demonstrated that disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields each have different effects on the MBL transition. Furthermore, we investigate the MBL transition of a quantum Ising chain with both disordered nearest-neighbour couplings and disordered next-nearest-neighbour couplings to see how these two types of disordered couplings drive the occurrence of the MBL transition.

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Fidelity Approach to the Disordered QuantumXYModel

Cited by 70 publications

References 20 publications

Fidelity and superconductivity in two-dimensionalt−Jmodels

Fidelity and superconductivity in two-dimensionalt−Jmodels

Disorder overtakes order in information concentration over quantum networks

Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain

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