Fermionic correlations as metric distances: A useful tool for materials science

Marocchi, Simone; Pittalis, Stefano; D’Amico, Irene

doi:10.1103/physrevmaterials.1.043801

Cited by 4 publications

(3 citation statements)

References 26 publications

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“…The trace distance is bounded D Tr ∈ [0, 1]. Because the trace distance has a maximum, in addition to be sensitive to changes in the system state and continuous, it is possible to establish a quantitative meaning for the words long/short distance: A distance can be defined as short when it is below a certain percentage of the maximum distance[56][57][58]. For example, a threshold of 10% corresponds to a short distance being, at least, one order of magnitude shorter than the distance maximum.…”

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confidence: 99%

Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time

Zawadzki

Serra

D’Amico

2020

Phys. Rev. Research

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The thermodynamic behavior of out-of-equilibrium quantum systems in finite-time dynamics encompasses the description of energy fluctuations, which dictates a series of the system's physical properties. In addition, strong interactions in many-body systems strikingly affect the energy-fluctuation statistics along a nonequilibrium dynamics. By driving transient currents to oppose the precursor to the metal-Mott-insulator transition in a diversity of dynamical regimes, we show how increasing many-body interactions dramatically affect the statistics of energy fluctuations and, consequently, the extractable work distribution of finite Hubbard chains. Statistical properties of such distributions as its skewness with its impressive change across the transition can be related to irreversibility and entropy production. Even for slow driving rates, the quasi quantum phase transition hinders equilibration, increasing the process irreversibility, and inducing strong features in the work distribution. In the Mott-insulating phase, the work fluctuation-dissipation balance gets modified with the irreversible entropy production dominating over work fluctuations. Because of this, effects of an interaction-driven quantum phase transition on thermodynamic quantities and irreversibility must be considered in the design of protocols in small-scale devices for application in quantum technology. Eventually, such many-body effects can also be employed in work extraction and refrigeration protocols on a quantum scale.

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confidence: 99%

Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time

Zawadzki

Serra

D’Amico

2020

Phys. Rev. Research

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“…Consequently, Russia prefers bilateral relations with the biggest EU member states than with the EU as such. 231 As a result, Russia benefits less economically from the LIO than it could. That in turn means that it might perceive the costs of further weakening the ties with LIO as limited and worth the benefits of its revanchist and aggressive policies throughout Eurasia.…”

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confidence: 99%

Whither the Liberal International Order? Does an Attenuated Liberal International Order Affect the Propensity, Incidence, and Intensity of Conflict?

2023

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First and foremost, I would like to thank my mother and father for instilling in me the discipline and perseverance to continually learn and strive to leave a better world than I found it. Thank you, Reverends Sidney C. Gaines (who rests in heaven) and Debra D. Gaines. Could not have done this without you. Love you, more. I would also like to thank my kids who actually did very little to help with my studies but gave me the reason for pushing through the mental, physical, and social hardships of this PhD program and dissertation process. Love you, kiddos.

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“…In metric space one can assign distances between wave functions, densities and external potentials of two systems, which quantify the closeness between the systems. Recently natural distances have been proposed for physical systems [8][9][10] and applied in several contexts [11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Metric-Space Approach for Distinguishing Quantum Phase Transitions in Spin-Imbalanced Systems

2018

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Metric spaces are characterized by distances between pairs of elements. Systems that are physically similar are expected to present smaller distances (between their densities, wave functions and potentials) than systems that present different physical behaviors. For this reason metric spaces are good candidates for probing quantum phase transitions, since they could identify regimes of distinct phases. Here we apply metric space analysis to explore the transitions between the several phases in spin imbalanced systems. In particular we investigate the so-called FFLO (Fulde-Ferrel-Larkin-Ovchinnikov) phase, which is an intriguing phenomenon in which superconductivity and magnetism coexist in the same material. This is expected to appear for example in attractive fermionic systems with spin-imbalanced populations, due to the internal polarization produced by the imbalance. The transition between FFLO phase (superconducting phase) and the normal phase (non-superconducting) and their boundaries have been subject of discussion in recent years. We consider the Hubbard model in the attractive regime for which Density Matrix Renormalization Group calculations allow us to obtain the exact density function of the system. We then analyze the exact density distances as a function of the polarization. We find that our distances display signatures of the distinct quantum phases in spin-imbalanced fermionic systems: with respect to a central reference polarization, systems without FFLO present a very symmetric behavior, while systems with phase transitions are asymmetric.

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Fermionic correlations as metric distances: A useful tool for materials science

Cited by 4 publications

References 26 publications

Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time

Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time

Whither the Liberal International Order? Does an Attenuated Liberal International Order Affect the Propensity, Incidence, and Intensity of Conflict?

Metric-Space Approach for Distinguishing Quantum Phase Transitions in Spin-Imbalanced Systems

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