Critical entanglement for the half-filled extended Hubbard model

Spalding, Jon; Tsai, Shan-Wen; Campbell, David

doi:10.1103/physrevb.99.195445

Cited by 13 publications

(13 citation statements)

References 72 publications

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“…On the other hand, if the on-site repulsion is dominant, a spin density wave (SDW) is formed. For weak and intermediate repulsive interactions, a bond-order wave (BOW) emerges between the CDW and SDW states, characterized by an alternating expectation value of the hopping term of the Hamiltonian [59,[68][69][70][71][72][73][74]. For strong nearest-neighbor attraction, the fermions cluster together forming a phase separation (PS).…”

Section: Model and Methodsmentioning

confidence: 99%

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Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Mendoza-Arenas

2021

Preprint

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Based on tensor network simulations, we discuss the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model. Considering different initial states, namely noninteracting, metallic, insulating spin and charge density waves, we identify several types of sudden interaction quenches which lead to dynamical criticality. In different scenarios, clear connections between DQPTs and particular properties of the mean double occupation or charge imbalance can be established. Dynamical transitions resulting solely from high-frequency time-periodic modulation are also found, which are well described by a Floquet effective Hamiltonian. State-of-the-art cold-atom quantum simulators constitute ideal platforms to implement several reported DQPTs experimentally.

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Section: Model and Methodsmentioning

confidence: 99%

“…Finally, we performed quenches varying U and V , to BOW [72,74] (U = 2 and V = 1, U = 4 and V = 2) and TS (U = 0 and V = −0.3, −0.5, −0.8) regimes. For the reached times t ≈ 2, no DQPTs were observed.…”

Section: A Finite-coupling Cdwmentioning

confidence: 99%

Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Mendoza-Arenas

2021

Preprint

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“…The local maximum in the block entanglement entropy of the spin-1/2 XXZ chain [27] is found to be at the BKT point, but this is not a universal feature for BKT transitions. The local maxima in the estimated values of the central charge [14,28,32] are also observed to be at IOQPTs, but they cannot differentiate between different types of IOQPTs. We are interested in a universal entanglement method for probing IOQPTs and extracting their critical properties.…”

Section: Introductionmentioning

confidence: 98%

“…Lots of concepts from quantum information theory have been implemented in condensed matter physics. Among them, the ground-state fidelity [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and the ground-state entanglement [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] have been proved to be successful to detect QPTs in various models. The fidelity method is based on the simple idea that the structure of the ground-state wavefunctions on two sides of the critical point are very different, thus there exists a drastic drop in fidelity around the critical point.…”

Section: Introductionmentioning

confidence: 99%

Fidelity and entanglement entropy for infinite-order phase transitions

Zhang

2021

Preprint

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We study the fidelity and the entanglement entropy for the ground states of quantum systems that have infinite-order quantum phase transitions. In particular, we consider the quantum O(2) model with a spin-S truncation, where there is an infinite-order Gaussian (IOG) transition for S = 1 and there are Berezinskii-Kosterlitz-Thouless (BKT) transitions for S ≥ 2. We show that the height of the peak in the fidelity susceptibility (χF ) converges to a finite thermodynamic value as a power law of 1/L for the IOG transition and as 1/ ln(L) for BKT transitions. The peak position of χF resides inside the gapped phase for both the IOG transition and BKT transitions. On the other hand, the derivative of the block entanglement entropy with respect to the coupling constant (S vN ) has a peak height that diverges as ln 2 (L) [ln 3 (L)] for S = 1 (S ≥ 2) and can be used to locate both kinds of transitions accurately. We include higher-order corrections for finite-size scalings and crosscheck the results with the value of the central charge c = 1. The crossing point of χF between different system sizes is at the IOG point for S = 1 but is inside the gapped phase for S ≥ 2, while those of S vN are at the phase-transition points for all S truncations. Our work elaborates how to use the finite-size scaling of χF or S vN to detect infinite-order quantum phase transitions and discusses the efficiency and accuracy of the two methods.

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“…The case of an interval touching the boundary has been extensively studied (see [62] for a review) using either conformal field theory methods [9,39,[63][64][65] or exact free fermion methods [66][67][68], including symmetry-resolved entropies [69]. It has also been checked numerically using density-matrix renormalization group techniques [70][71][72][73]. When the subregion A is an interval at the end of a semi-infinite line, or at the end of a finite system with the same boundary condition on both sides, the computation of the Rényi entanglement entropy boils down to the evaluation of a twist one-point function on the upper half-plane.…”

Section: Introductionmentioning

confidence: 99%

Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries

Estienne,

Ikhlef,

Rotaru

2021

Preprint

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We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second Rényi entropy of an interval away from the boundary can be computed exactly, provided the same conformal boundary condition is applied on both sides. The result involves the annulus partition function. We compare our exact result with numerical computations for the critical quantum Ising chain with open boundary conditions. We find excellent agreement, and we analyse in detail the finite-size corrections, which are known to be much larger than for a periodic system.

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Critical entanglement for the half-filled extended Hubbard model

Cited by 13 publications

References 72 publications

Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Fidelity and entanglement entropy for infinite-order phase transitions

Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries

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