Entanglement entropy in dynamic quantum-coherent conductors

Thomas, Konrad; Flindt, Christian

doi:10.1103/physrevb.91.125406

Cited by 21 publications

(25 citation statements)

References 85 publications

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“…A close connection exists between entanglement entropy and fluctuations in the local observables in the subsystem e.g. magnetization in a spin system or particle number in free fermionic systems [26][27][28][29][30][31] . The relationship becomes a proportionality for certain gapless models, and the proportionality constant to leading order has also been obtained 30 .…”

Section: B Fermionic Entanglement and Fluctuationsmentioning

confidence: 99%

Entanglement contour perspective for “strong area-law violation” in a disordered long-range hopping model

Roy

Sharma

2018

Phys. Rev. B

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We numerically investigate the link between the delocalization-localization transition and entanglement in a disordered long-range hopping model of spinless fermions by studying various static and dynamical quantities. This includes the inverse participation ratio, level-statistics, entanglement entropy and number fluctuations in the subsystem along with quench and wave-packet dynamics. Finite systems show delocalized, quasi-localized and localized phases. The delocalized phase shows strong area-law violation whereas the (quasi)localized phase adheres to (for large subsystems) the strict area law. The idea of 'entanglement contour' nicely explains the violation of area-law and its relationship with 'fluctuation contour' reveals a signature at the transition point. The relationship between entanglement entropy and number fluctuations in the subsystem also carries signatures for the transition in the model. Results from Aubry-Andre-Harper model are compared in this context. The propagation of charge and entanglement are contrasted by studying quench and wavepacket dynamics at the single-particle and many-particle levels.arXiv:1711.06338v2 [cond-mat.str-el]

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Section: B Fermionic Entanglement and Fluctuationsmentioning

confidence: 99%

Entanglement contour perspective for “strong area-law violation” in a disordered long-range hopping model

Roy

Sharma

2018

Phys. Rev. B

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“…This experiment has then triggered a prolific both experimental [9,10,11,12,13,14,15,16,17,18,19,20,21,22] and theoretical [23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,…”

Section: Introductionmentioning

confidence: 99%

Single-electron coherence: Finite temperature versus pure dephasing

Moskalets

Haack

2016

Physica E: Low-dimensional Systems and Nanostructures

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We analyze a coherent injection of single electrons on top of the Fermi sea in two situations, at finite-temperature and in presence of pure dephasing. Both finite-temperature and pure dephasing change the property of the injected quantum states from pure to mixed. However, we show that the temperature-induced mixedness does not alter the coherence properties of these single-electronic states. In particular two such mixed states exhibit perfect antibunching while colliding at an electronic wave splitter. This is in striking difference with the dephasing-induced mixedness which suppresses antibunching. On the contrary, a single-particle shot noise is suppressed at finite temperatures but is not affected by pure dephasing. This work therefore extends the investigation of the coherence properties of single-electronic states to the case of mixed states and clarifies the difference between different types of mixedness.

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“…In Ref. 50 a relation between charge distribution (quantum noise) and the entanglement has been derived for noninteracting fermions undergoing this type of quench, and motivated further study of the relation between entanglement and charge distribution [51][52][53][54][55][56][57][58][59][60][61][62][63][64] . With the charge-resolved entanglement mea-sures just discussed it becomes apparent that one should not separately address the dynamics of charge and entanglement, but rather their combined measures.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of charge-resolved entanglement after a local quench

2019

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Quantum entanglement and its main quantitative measures, the entanglement entropy and entanglement negativity, play a central role in many body physics. An interesting twist arises when the system considered has symmetries leading to conserved quantities: Recent studies introduced a way to define, represent in field theory, calculate for 1+1D conformal systems, and measure, the contribution of individual charge sectors to the entanglement measures between different parts of a system in its ground state. In this paper, we apply these ideas to the time evolution of the chargeresolved contributions to the entanglement entropy and negativity after a local quantum quench. We employ conformal field theory techniques, the time-dependent density matrix renormalization group algorithm, and exact solution in the noninteracting limit, finding good agreement between all these methods.

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Entanglement entropy in dynamic quantum-coherent conductors

Cited by 21 publications

References 85 publications

Entanglement contour perspective for “strong area-law violation” in a disordered long-range hopping model

Entanglement contour perspective for “strong area-law violation” in a disordered long-range hopping model

Single-electron coherence: Finite temperature versus pure dephasing

Dynamics of charge-resolved entanglement after a local quench

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