Work statistics and symmetry breaking in an excited-state quantum phase transition

Mzaouali, Zakaria; Puebla, Ricardo; Goold, John; Baz, M. El; Campbell, Steve

doi:10.1103/physreve.103.032145

Cited by 18 publications

(7 citation statements)

References 86 publications

(157 reference statements)

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“…x accounts for the all-to-all interaction, i, j σi x σ j x , while the parameter Λ controls its strength and so the nature of the ground state of the LMG. The LMG can be considered as a limiting case of the Ising model with long-range interactions, and thus has been proven very useful to test different aspects of critical quantum dynamics and the role of long-range interactions [93][94][95][96][97][98][99][100][101][102][103], which has been experimentally realized in trapped-ion setup [104][105][106][107] and with cold gases [108][109][110].…”

Section: Lipkin-meshkov-glick Modelmentioning

confidence: 99%

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Garbe,

Abah,

Felicetti

et al. 2021

Preprint

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Section: Lipkin-meshkov-glick Modelmentioning

confidence: 99%

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Garbe,

Abah,

Felicetti

et al. 2021

Preprint

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“…The work distribution for a quantum many-body system is complex. Hence, one usually studies the moments or cumulants of work, such as the mean and variance, in analyzing the work statistics of quantum systems [59][60][61][65][66][67][68][69]. Although the work moments or cumulants can capture several features of nonequilibrium thermodynamics in a variety of many-body systems, they cannot reveal the full information included in the work distribution.…”

Section: Entropy Of the Work Distributionmentioning

confidence: 99%

Clinical value of the emergency department in screening and diagnosis of COVID-19 in China

Zhang

Pan

Zhao

et al. 2020

J. Zhejiang Univ. Sci. B

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Studying the implications and characterizations of the excited state quantum phase transitions (ESQPTs) would enable us to understand various phenomena observed in quantum many body systems. In this work, we delve into the affects and characterizations of the ESQPTs in the anharmonic Lipkin-Meshkov-Glick (LMG) model by means of the entropy of the quantum work distribution. The entropy of the work distribution measures the complexity of the work distribution and behaves as a valuable tool for analyzing nonequilibrium work statistics. We show that the entropy of the work distribution captures salient signatures of the underlying ESQPTs in the model. In particular, a detailed analyses of the scaling behavior of the maximal entropy verifies that it acts as a witness of the ESQPTs. We further demonstrate that the entropy of the work distribution also reveals the features of the ESQPTs in the energy space and can be used to determine their critical energies. Our results provide further evidence of the usefulness of the entropy of the work distribution for investigating various phase transitions in quantum many body systems and open up a promising way for experimentally exploring the signatures of ESQPTs.

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“…x σj x , while the parameter Λ controls its strength and so the nature of the ground state of the LMG. The LMG can be considered as a limiting case of the Ising model with long-range interactions, and thus has been proven very useful to test different aspects of critical quantum dynamics and the role of long-range interactions [94][95][96][97][98][99][100][101][102][103][104], which has been experimentally realized in trapped-ion setup [105][106][107][108] and with cold gases [109][110][111].…”

Section: Lmg Modelmentioning

confidence: 99%

Critical quantum metrology with fully-connected models: from Heisenberg to Kibble–Zurek scaling

Garbe

Abah

Felicetti

et al. 2022

Quantum Sci. Technol.

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Phase transitions represent a compelling tool for classical and quantum sensing applications. It has been demonstrated that quantum sensors can in principle saturate the Heisenberg scaling, the ultimate precision bound allowed by quantum mechanics, in the limit of large probe number and long measurement time. Due to the critical slowing down, the protocol duration time is of utmost relevance in critical quantum metrology. However, how the long-time limit is reached remains in general an open question. So far, only two dichotomic approaches have been considered, based on either static or dynamical properties of critical quantum systems. Here, we provide a comprehensive analysis of the scaling of the quantum Fisher information for diﬀerent families of protocols that create a continuous connection between static and dynamical approaches. In particular, we consider fully-connected models, a broad class of quantum critical systems of high experimental relevance. Our analysis unveils the existence of universal precision-scaling regimes. These regimes remain valid even for ﬁnite-time protocols and ﬁnite-size systems. We also frame these results in a general theoretical perspective, by deriving a precision bound for arbitrary time-dependent quadratic Hamiltonians.

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Work statistics and symmetry breaking in an excited-state quantum phase transition

Cited by 18 publications

References 86 publications

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Clinical value of the emergency department in screening and diagnosis of COVID-19 in China

Critical quantum metrology with fully-connected models: from Heisenberg to Kibble–Zurek scaling

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