Many-body localization transition in a frustrated XY chain

Bahovadinov, M. S.; Kurlov, D. V.; Matveenko, S. I.; Altshuler, B. L.; Shlyapnikov, G. V.

doi:10.1103/physrevb.106.075107

Cited by 12 publications

(5 citation statements)

References 79 publications

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“…[25]. In [40] a similar constrained hopping term was shown to arise from the Jordan-Wigner transformation of a next nearest neighbor XY spin chain. Another constrained model recently studied is the socalled folded XXZ [16,21], where the ∆ → ∞ limit of the XXZ chain is considered, leading to integrable dynamics [22,23].…”

Section: Family Of Particle-conserving East Modelsmentioning

confidence: 87%

Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models

Brighi,

Ljubotina,

Serbyn

2023

SciPost Phys.

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Quantum kinetically constrained models have recently attracted significant attention due to their anomalous dynamics and thermalization. In this work, we introduce a hitherto unexplored family of kinetically constrained models featuring conserved particle number and strong inversion-symmetry breaking due to facilitated hopping. We demonstrate that these models provide a generic example of so-called quantum Hilbert space fragmentation, that is manifested in disconnected sectors in the Hilbert space that are not apparent in the computational basis. Quantum Hilbert space fragmentation leads to an exponential in system size number of eigenstates with exactly zero entanglement entropy across several bipartite cuts. These eigenstates can be probed dynamically using quenches from simple initial product states. In addition, we study the particle spreading under unitary dynamics launched from the domain wall state, and find faster than diffusive dynamics at high particle densities, that crosses over into logarithmically slow relaxation at smaller densities. Using a classically simulable cellular automaton, we reproduce the logarithmic dynamics observed in the quantum case. Our work suggests that particle conserving constrained models with inversion symmetry breaking realize so far unexplored dynamical behavior and invite their further theoretical and experimental studies.

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Section: Family Of Particle-conserving East Modelsmentioning

confidence: 87%

Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models

Brighi,

Ljubotina,

Serbyn

2023

SciPost Phys.

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“…Therefore, the spin-1 case clearly corresponds to a genuinely many-body system. We emphasize that the same hard-core interaction can be provided by adding to the spin- 1 2 XY chain additional terms responsible for the next-nearest-neighbor XY spin-spin interactions [40]. On the other hand, one can eliminate the effective hard-core interaction from the spin-1 XY chain by including an explicit interaction term of the form U j S z j (S z j − 1) with U → +∞ [70].…”

Section: Spin-1 Chain With Correlated Xy Interactionmentioning

confidence: 99%

“…Most commonly, the focus is on the one-dimensional (1D) systems due to the computational limitations, although recent works provide evidence of MBL in two-dimensional systems [36][37][38]. Paradigmatic examples of systems studied in the context of MBL are various spin- 1 2 chains and ladders [24,39,40] fermions, e.g., the Hubbard model [41,42]. However, even in one dimension, the physics can be much richer as the class of available physical models is much broader.…”

Section: Introductionmentioning

confidence: 99%

Many-body localization of Z3 Fock parafermions

et al. 2022

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Section: Spin-1 Chain With Correlated Xy Interactionmentioning

confidence: 99%

“…Most commonly, the focus is on the one-dimensional (1D) systems due to the computational limitations, although recent works provide evidences of MBL in two-dimensional systems [36][37][38]. Paradigmatic examples of systems studied in the context of MBL are various spin- 1 2 chains and ladders [24,39,40] and interacting single-and two-component fermions, e.g. the * MSB and WB contributed equally to this work.…”

Section: Introductionmentioning

confidence: 99%

Many-body localization of ${\mathbb Z}_3$ Fock parafermions

Bahovadinov¹,

Buijsman²,

Fedorov³

et al. 2022

Preprint

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We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with correlated nearest-neigbor XY interaction. We show that this spin model can be exactly mapped onto the 1D disordered tight-binding model of Z3 Fock parafermions (FPFs), exotic anyonic quasiparticles that generalize usual spinless fermions. Thus, we have a peculiar case of a disordered Hamiltonian that, despite being bilinear in the creation and annihilation operators, exhibits a many-body localization (MBL) transition owing to the non-trivial statistics of FPFs. This is in sharp contrast to conventional bosonic and fermionic quadratic disordered Hamiltonians that show single-particle (Anderson) localization. We perform finite-size exact diagonalization calculations of level-spacing statistics, fractal dimensions, and entanglement entropy, and provide convincing evidence for the MBL transition at finite disorder strength.

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Many-body localization transition in a frustrated XY chain

Cited by 12 publications

References 79 publications

Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models

Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models

Many-body localization of Z3 Fock parafermions

Many-body localization of ${\mathbb Z}_3$ Fock parafermions

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