Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators

Chinni, Karthik; Poggi, Pablo M.; Deutsch, Ivan

doi:10.1103/physrevresearch.3.033145

Cited by 11 publications

(3 citation statements)

References 61 publications

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“…A particular realization of the LMG model has a classical limit energy functional that is equal to classical limit of the IBM and it has been used as a tool to shed light upon QPTs and ESQPTs in this model [56][57][58]. It is also a toy model that can be applied in quantum computing [59][60][61]. The interest in the LMG model was further fostered by the achievement of different experimental realizations, using molecular magnets [62], optical cavities [63], Bose-Einstein condensates [64], nuclear magnetic resonance systems [65], trapped atoms [66][67][68], and cold atoms [69].…”

Section: Introductionmentioning

confidence: 99%

Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects

Gamito

Khalouf-Rivera²,

Arias³

et al. 2022

Phys. Rev. E

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The basic Lipkin-Meshkov-Glick model displays a second-order ground-state quantum phase transition and an excited-state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the Hamiltonian implies a second ESQPT of a different nature. We characterize this ESQPT using the mean field limit of the model. The alternative ESQPT, associated with the changes in the boundary of the finite Hilbert space of the system, can be properly described using the order parameter of the ground-state quantum phase transition, the energy gap between adjacent states, the participation ratio, and the quantum fidelity susceptibility.

show abstract

Section: Introductionmentioning

confidence: 99%

Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects

Gamito

Khalouf-Rivera²,

Arias³

et al. 2022

Phys. Rev. E

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show abstract

“…A particular realization of the LMG model has a classical limit energy functional that is equal to classical limit of the IBM and it has been used as a tool to shed light upon QPTs and ESQPTs in this model [53][54][55]. It is also a toy model that can be of application in quantum computing [56][57][58]. The interest on the LMG model has been further fostered by the achievement of different experimental realizations, with optical cavities [59], Bose-Einstein condensates [60], nuclear magnetic resonance systems [61], trapped atoms [62][63][64], and cold atoms [65].…”

Section: Introductionmentioning

confidence: 99%

Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects

Gamito¹,

Khalouf-Rivera²,

Arias³

et al. 2022

Preprint

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The basic Lipkin-Meshkov-Glick model displays a second order ground state quantum phase transition and an excited state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the Hamiltonian implies a second ESQPT of a different nature. We characterize this ESQPT using the mean field limit of the model. The new ESQPT, associated with the changes in the boundary of the finite Hilbert space of the system, can be properly described using the order parameter of the ground state quantum phase transition, the energy gap between adjacent states, the participation ratio, and the quantum fidelity susceptibility.

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“…Even so, it is usually difficult to understand how equilibrium critical phenomena can manifest in generic high energy excited states of a system. In this light, there has been an extensive search for footprints of quantum criticality in excited and particularly out of * souvik@iitk.ac.in equilibrium systems [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Particularly, Ref.…”

Section: Introductionmentioning

confidence: 99%

Late-time critical behavior of local string-like observables under quantum quenches

Bandyopadhyay¹,

Polkovnikov²,

Dutta³

2022

Preprint

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In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems which are manifestly far from equilibrium. We explore such scenarios in interacting spin systems subject to a quench and develop a robust method to systematically probe ground state critical physics through nonequilibrium post-quench dynamics. Analyzing late-time behavior of finite string-like observables, we find emerging sharp signatures of equilibrium criticality. Specifically, these observables accurately detect equilibrium critical points and universal critical exponents after long times following a quench. This happens despite the fact that the analyzed systems are chaotic/ergodic and is interestingly due to a strong memory of the initial conditions retained by these observables after quench. We find that our results can also be used to explain critical signatures in post-quench domain formation, seen in a recent experiment with trapped ion quantum simulators.

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Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators

Cited by 11 publications

References 61 publications

Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects

Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects

Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects

Late-time critical behavior of local string-like observables under quantum quenches

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