Quasilocalized dynamics from confinement of quantum excitations

Lerose, Alessio; Surace, Federica Maria; Mazza, Paolo Pietro; Perfetto, Gabriele; Collura, Mario; Gambassi, Andrea

doi:10.48550/arxiv.1911.07877

Cited by 8 publications

(11 citation statements)

References 75 publications

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“…Note added. During the preparation of our manuscript, we became aware of a related complementary work on confinement-induced quasilocalized dynamics [94]. and likewise for V 4→2 .…”

Section: Concluding Discussionmentioning

confidence: 99%

Real-time dynamics of string breaking in quantum spin chains

Verdel,

Liu,

Whitsitt

et al. 2019

Preprint

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“…Note added. During the preparation of our manuscript, we became aware of a related complementary work on confinement-induced quasilocalized dynamics [94]. and likewise for V 4→2 .…”

Section: Concluding Discussionmentioning

confidence: 99%

Real-time dynamics of string breaking in quantum spin chains

Verdel,

Liu,

Whitsitt

et al. 2019

Preprint

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“…Furthermore, the presence of approximate revivals has also been demonstrated numerically in a variety of other models resembling the PXP model [12,[19][20][21]. In addition, there are several theoretical and numerical works explore systems showing anomalous dynamics and the phenomenology of quantum scars [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 89%

Large classes of quantum scarred Hamiltonians from matrix product states

Moudgalya

O’Brien²,

Bernevig

et al. 2020

Phys. Rev. B

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Motivated by the existence of exact many-body quantum scars in the AKLT chain, we explore the connection between Matrix Product State (MPS) wavefunctions and many-body quantum scarred Hamiltonians. We provide a method to systematically search for and construct parent Hamiltonians with towers of exact eigenstates composed of quasiparticles on top of an MPS wavefunction. These exact eigenstates have low entanglement in spite of being in the middle of the spectrum, thus violating the strong Eigenstate Thermalization Hypothesis (ETH). Using our approach, we recover the AKLT chain starting from the MPS of its ground state, and we derive the most general nearestneighbor Hamiltonian that shares the AKLT quasiparticle tower of exact eigenstates. We further apply this formalism to other simple MPS wavefunctions, and derive new families of Hamiltonians that exhibit AKLT-like quantum scars. As a consequence, we also construct a scar-preserving deformation that connects the AKLT chain to the integrable spin-1 pure biquadratic model. Finally, we also derive other families of Hamiltonians that exhibit new types of exact quantum scars, including a U (1)-invariant perturbed Potts model.

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“…In very recent times, it has been proposed that many quantitative aspects of confinement (such as the masses of the bound states) can be accessed very effectively following the non-equilibrium real time dynamics [39], a protocol which is routinely exploited in ultracold atoms and trapped ions experiments. This observation started an intensive theoretical activity on the subject [40][41][42][43][44][45][46][47][48][49][50][51] that lead to direct experimental implementation of a quantum simulator with trapped ions [52], as well as several new theoretical and experimental ideas to understand lattice gauge theories in real time [53][54][55][56][57][58].…”

Section: Introductionmentioning

confidence: 99%

Confinement in the spectrum of a Heisenberg-Ising spin ladder

Lagnese,

Surace,

Kormos

et al. 2020

Preprint

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The Heisenberg-Ising spin ladder is one of the few short-range models showing confinement of elementary excitations without the need of an external field, neither transverse nor longitudinal. This feature makes the model suitable for an experimental realization with ultracold atoms. In this paper, we combine analytic and numerical techniques to precisely characterize its spectrum in the regime of Hamiltonian parameters showing confinement. We find two kinds of particles, which we dub intrachain and interchain mesons, that correspond to bound states of kinks within the same chain or between different ones, respectively. The ultimate physical reasons leading to the existence of two families of mesons is a residual double degeneracy of the ground state: the two types of mesons interpolate either between the same vacuum (intrachain) or between the two different ones (interchain). While the intrachain mesons can also be qualitatively assessed through an effective mean field description and were previously known, the interchain ones are new and they represent general features of spin ladders with confinement.

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Quasilocalized dynamics from confinement of quantum excitations

Cited by 8 publications

References 75 publications

Real-time dynamics of string breaking in quantum spin chains

Real-time dynamics of string breaking in quantum spin chains

Large classes of quantum scarred Hamiltonians from matrix product states

Confinement in the spectrum of a Heisenberg-Ising spin ladder

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