Quantum scars of bosons with correlated hopping

Hudomal, Ana; Vasić, Ivana; Regnault, Nicolas; Papić, Zlatko

doi:10.1038/s42005-020-0364-9

Cited by 91 publications

(61 citation statements)

References 97 publications

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“…Conversely, there are nonintegrable systems with exactly known scar states, such as the Affleck-Kennedy-Lieb-Tasaki (AKLT) model [28][29][30], the spin-1 XY model [31,32], and a spin-1/2 domain-wall-conserving model [33,34], among others [35][36][37][38][39][40][41][42][43], including a framework to make target states as scars in nonintegrable models [35,36]; there is also a growing number of examples of scars in the Floquet setting [41,[44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

η -pairing states as true scars in an extended Hubbard model

2020

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The η-pairing states are a set of exactly known eigenstates of the Hubbard model on hypercubic lattices, first discovered by Yang [C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989)]. These states are not many-body scar states in the Hubbard model because they occupy unique symmetry sectors defined by the so-called η-pairing SU(2) symmetry. We study an extended Hubbard model with bond-charge interactions, popularized by Hirsch [J. E. Hirsch, Physica C 158, 326 (1989)], where the η-pairing states survive without the η-pairing symmetry and become true scar states. We also discuss similarities between the η-pairing states and exact scar towers in the spin-1 XY model found by Schecter and Iadecola [M. Schecter and T. Iadecola, Phys. Rev. Lett. 123, 147201 (2019)], and systematically arrive at all nearest-neighbor terms that preserve such scar towers in one dimension. We also generalize these terms to arbitrary bipartite lattices. Our study of the spin-1 XY model also leads us to several scarred models, including a spin-1/2 J 1 − J 2 model with Dzyaloshinskii-Moriya interaction, in realistic quantum magnet settings in one and two dimensions.

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Section: Introductionmentioning

confidence: 99%

η -pairing states as true scars in an extended Hubbard model

2020

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“…also Figs. 4,7,8,11), we obtain meaningful results. To reduce the edge effects we start with the maxima located at a distance of 20-80 sites from the edges.…”

Section: Floating Phasementioning

confidence: 72%

Supersymmetry and multicriticality in a ladder of constrained fermions

2021

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Supersymmetric lattice models of constrained fermions are known to feature exotic phenomena such as superfrustration, with an extensive degeneracy of ground states, the nature of which is however generally unknown. Here we address this issue by considering a superfrustrated model, which we deform from the supersymetric point. By numerically studying its two-parameter phase diagram, we reveal a rich phenomenology. The vicinity of the supersymmetric point features period-4 and period-5 density waves which are connected by a floating phase (incommensurate Luttinger liquid) with smoothly varying density. The supersymmetric point emerges as a multicritical point between these three phases. Inside the period-4 phase we report a valence-bond solid type ground state that persists up to the supersymmetric point. Our numerical data for transitions out of density-wave phases are consistent with the Pokrovsky-Talapov universality class. Furthermore, our analysis unveiled a period-3 phase with a boundary determined by a competition between single and two-particle instabilities accompanied by a doubling of the wavevector of the density profiles along a line in the phase diagram.

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“…A recent experiment [12] on cold Rydberg atoms observed unusual quench dynamics in a nonintegrable many-body system. This was attributed to a set of special eigenstates and set off a flurry of work [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] on so-called "quantum many-body scar states," which are eigenstates of nonintegrable Hamilitonians that do not obey the ETH. This is in analogy to single-particle scar states [33] in an otherwise chaotic spectrum.…”

Section: Introductionmentioning

confidence: 99%

Unified structure for exact towers of scar states in the Affleck-Kennedy-Lieb-Tasaki and other models

2020

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Quantum many-body scar states are many-body states with finite energy density in non-integrable models that do not obey the eigenstate thermalization hypothesis. Recent works have revealed "towers" of scar states that are exactly known and are equally spaced in energy, specifically in the AKLT and spin-1 XY models, and a spin-1/2 model that conserves the number of domain walls. We provide a common framework to understand and prove known exact towers of scars in these systems, by evaluating the commutator of the Hamiltonian and a ladder operator. In particular, we provide a simple proof of the scar towers in the integer-spin 1D AKLT models by studying two-site spin projectors. Through this picture we deduce a family of Hamiltonians that share the scar tower with the AKLT model, and also find common parent Hamiltonians for the AKLT and XY model scars. We also introduce new towers of exact states, organized in a "pyramid" structure, in the spin-1/2 model through the successive application of a nonlocal ladder operator.

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Quantum scars of bosons with correlated hopping

Cited by 91 publications

References 97 publications

η -pairing states as true scars in an extended Hubbard model

η -pairing states as true scars in an extended Hubbard model

Supersymmetry and multicriticality in a ladder of constrained fermions

Unified structure for exact towers of scar states in the Affleck-Kennedy-Lieb-Tasaki and other models

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