Prominent quantum many-body scars in a truncated Schwinger model

Desaules, Jean-Yves; Hudomal, Ana; Banerjee, Debasish; Sen, Arnab; Papić, Zlatko; Halimeh, Jad C.

doi:10.48550/arxiv.2204.01745

Cited by 7 publications

(11 citation statements)

References 86 publications

(129 reference statements)

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“…Scarring also occurs for massive quenches starting in the charge-proliferated state |−1/2, +1, −1/2, +1 , which is the nondegenerate Z 2 -symmetric ground state of Eq. (3) at µ → ∞ and θ = π [63,65,66]. In Sec.…”

Section: Modelmentioning

confidence: 89%

Tuning the Topological $θ$-Angle in Cold-Atom Quantum Simulators of Gauge Theories

Halimeh¹,

McCulloch²,

Yang³

et al. 2022

Preprint

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The topological θ-angle in gauge theories engenders a series of fundamental phenomena, including violations of charge-parity (CP) symmetry, dynamical topological transitions, and confinementdeconfinement transitions. At the same time, it poses major challenges for theoretical studies, as it implies a sign problem in numerical simulations. Analog quantum simulators open the promising prospect of treating quantum many-body systems with such topological terms, but, contrary to their digital counterparts, they have not yet demonstrated the capacity to control the θ-angle. Here, we demonstrate how a tunable topological θ-term can be added to a prototype theory with U(1) gauge symmetry, a discretized version of quantum electrodynamics in one spatial dimension. As we show, the model can be realized experimentally in a single-species Bose-Hubbard model in an optical superlattice with three different spatial periods, thus requiring only standard experimental resources. Through numerical calculations obtained from the time-dependent density matrix renormalization group method and exact diagonalization, we benchmark the model system, and illustrate how salient effects due to the θ-term can be observed. These include charge confinement, the weakening of quantum many-body scarring, as well as the disappearance of Coleman's phase transition due to explicit breaking of CP symmetry. This work opens the door towards studying the rich physics of topological gauge-theory terms in large-scale cold-atom quantum simulators.

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Section: Modelmentioning

confidence: 89%

Tuning the Topological $θ$-Angle in Cold-Atom Quantum Simulators of Gauge Theories

Halimeh¹,

McCulloch²,

Yang³

et al. 2022

Preprint

Self Cite

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“…In a more practical direction, the tower states are characterized by a larger amount of entanglement and it would be interesting to explore their applications in information-storage or quantum-enhanced metrology [58][59][60]. Finally, it would be important to understand the underlying mechanisms for the emergence of towers in other models with non-exact scars, such as higher-spin PXP [37] and clock models [61], lattice gauge theories [62][63][64], and fractional quantum Hall states on stretched cylinders [65].…”

Section: Discussionmentioning

confidence: 99%

Superdiffusive Energy Transport in Kinetically Constrained Models

Ljubotina¹,

Desaules²,

Serbyn³

et al. 2022

Preprint

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Universal nonequilibrium properties of isolated quantum systems are typically probed by studying transport of conserved quantities, such as charge or spin, while transport of energy has received considerably less attention. Here, we study infinite-temperature energy transport in the kineticallyconstrained PXP model describing Rydberg atom quantum simulators. Our state-of-the-art numerical simulations, including exact diagonalization and time-evolving block decimation methods, reveal the existence of two distinct transport regimes. At moderate times, the energy-energy correlation function displays periodic oscillations due to families of eigenstates forming different su(2) representations hidden within the spectrum. These families of eigenstates generalize the quantum many-body scarred states found in previous works and leave an imprint on the infinite-temperature energy transport. At later times, we observe a broad superdiffusive transport regime that we attribute to the proximity of a nearby integrable point. Intriguingly, strong deformations of the PXP model by the chemical potential do not restore diffusion, but instead lead to a stable superdiffusive exponent z ≈ 3/2. Our results suggest constrained models to be potential hosts of novel transport regimes and call for developing an analytic understanding of their energy transport.

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“…Theoretical studies continue to identify large classes of models that exhibit various aspects of QMBS phenomena. Some notable examples include various nonintegrable lattice models [20][21][22][23][24][25][26][27], models of correlated fermions and bosons [28][29][30][31][32][33][34][35][36], frustrated magnets [37,38], topological phases of matter [39,40], lattice gauge theories [41][42][43][44][45], and periodically-driven systems [46][47][48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Driving quantum many-body scars in the PXP model

et al. 2022

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Periodic driving has been established as a powerful technique for engineering novel phases of matter and intrinsically out-of-equilibrium phenomena such as time crystals. Recent paper by Bluvstein et al. [Science 371, 1355] has demonstrated that periodic driving can also lead to a significant enhancement of quantum many-body scarring, whereby certain nonintegrable systems can display persistent quantum revivals from special initial states. Nevertheless, the mechanisms behind driving-induced scar enhancement remain poorly understood.Here we report a detailed study of the effect of periodic driving on the PXP model describing Rydberg atoms in the presence of a strong Rydberg blockade-the canonical static model of quantum many-body scarring. We show that periodic modulation of the chemical potential gives rise to a rich phase diagram, with at least two distinct types of scarring regimes that we distinguish by examining their Floquet spectra. We formulate a toy model, based on a sequence of square pulses, that accurately captures the details of the scarred dynamics and allows for analytical treatment in the large-amplitude and high-frequency driving regimes. Finally, we point out that driving with a spatially inhomogeneous chemical potential allows to stabilize quantum revivals from arbitrary initial states in the PXP model, via a mechanism similar to prethermalization.

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Prominent quantum many-body scars in a truncated Schwinger model

Cited by 7 publications

References 86 publications

Tuning the Topological $θ$-Angle in Cold-Atom Quantum Simulators of Gauge Theories

Tuning the Topological $θ$-Angle in Cold-Atom Quantum Simulators of Gauge Theories

Superdiffusive Energy Transport in Kinetically Constrained Models

Driving quantum many-body scars in the PXP model

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