Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model

Goldsborough, Andrew M.; Römer, Rudolf A.

doi:10.1209/0295-5075/111/26004

Cited by 13 publications

(16 citation statements)

References 44 publications

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“…Nevertheless, in our pointlike type of disorder 47,50 (see refs. 36,37,39–42,58,59 . for other potential landscapes) the concentration of impurities is an additional important parameter whose impact on the transition remains to be investigated.…”

Section: Resultsmentioning

confidence: 99%

Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids

Canella

França

2019

Sci Rep

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We use entanglement to track the superfluid-insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model. Entanglement is found to have remarkable signatures of the SIT driven by i) the disorder strength V, ii) the concentration of impurities C and iii) the particle density n. Our results reveal the absence of a critical potential intensity on the SIT driven by V, i.e. any small V suffices to decrease considerably the degree of entanglement: it drops ∼50% for V = −0.25t. We also find that entanglement is non-monotonic with the concentration C, approaching to zero for a certain critical value CC. This critical concentration is found to be related to a special type of localization, here named as fully-localized state, which can be also reached for a particular density nC. Our results show that the SIT driven by n or C has distinct nature whether it leads to the full localization or to the ordinary one: it is a first-order quantum phase transition only when leading to full localization. In contrast, the SIT driven by V is never a first-order quantum phase transition independently on the type of localization reached.

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Section: Resultsmentioning

confidence: 99%

Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids

Canella

França

2019

Sci Rep

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“…At large interactions and large disorder, finally, strong correlations should lead back to an insulating phase, distinct from the above mentioned Mott insulator in the clean setup. Although this picture is qualitatively wellunderstood, the full quantitative characterization of the disordered Bose-Hubbard model remains challenging: considerable efforts have been devoted to study its phase diagram, in particular the location and the nature of the glassy phase [23][24][25][26][27][28][29][30][31][32][33][34]. Developments on the issue, with a special emphasis on numerical simulations, have been reviewed in [35].…”

Section: Introductionmentioning

confidence: 99%

Superfluid density and quasi-long-range order in the one-dimensional disordered Bose–Hubbard model

et al. 2016

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We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness and superfluid correlations close to the superfluid to glass transition line, obtaining accurate locations of the critical points. By studying the statistics of the exponent of the power-law decay of the correlation, we determine the boundary between the superfluid region and the Bose glass phase in the regime of strong disorder and in the weakly interacting region, not explored numerically before. In the former case our simulations are in agreement with previous Monte Carlo calculations.

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“…[15] The structure of entanglement in disordered one-dimensional systems has also attracted some attention. [16][17][18][19][20] Moreover, in recent years, many theoretical studies on chaotic systems have focused on the role of correlations. [21][22][23][24][25][26][27] Spin-1∕2 chains are natural candidates to study the relations between quantum correlations, entanglement and quantum chaos.…”

Section: Introductionmentioning

confidence: 99%

“…[ 15 ] The structure of entanglement in disordered one‐dimensional systems has also attracted some attention. [ 16–20 ] Moreover, in recent years, many theoretical studies on chaotic systems have focused on the role of correlations. [ 21–27 ]…”

Section: Introductionmentioning

confidence: 99%

Concurrence and Quantum Discord in the Eigenstates of Chaotic and Integrable Spin Chains

et al. 2020

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There has been some substantial research about the connections between quantum chaos and quantum correlations in many-body systems. This paper discusses a specific aspect of correlations in chaotic spin models, through concurrence (CC) and quantum discord (QD). Numerical results obtained in the quantum chaos regime and in the integrable regime of spin-1/2 chains are compared. The CC and QD between nearest-neighbor pairs of spins are calculated for all energy eigenstates. The results show that, depending on whether the system is in a chaotic or integrable regime, the distribution of CC and QD are markedly different. On the other hand, in the integrable regime, states with the largest CC and QD are found in the middle of the spectrum, in the chaotic regime, the states with the strongest correlations are found at low and high energies at the edges of spectrum. Finite-size effects are analyzed, and some of the results are discussed in the light of the eigenstate thermalization hypothesis.

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Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model

Cited by 13 publications

References 44 publications

Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids

Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids

Superfluid density and quasi-long-range order in the one-dimensional disordered Bose–Hubbard model

Concurrence and Quantum Discord in the Eigenstates of Chaotic and Integrable Spin Chains

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