Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain

Mondal, Saikat; Sen, Diptiman; Dutta, Amit

doi:10.1088/1361-648x/aca7f7

Cited by 5 publications

(4 citation statements)

References 83 publications

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“…Consequently, the winding about any arbitrary axis becomes difficult to visualize. To circumvent this difficulty, let us compute another quantity, called as the dynamical winding number [18,50,51]. To facilitate our computation, we need to rewrite Eq.27 in a symmetric way, which can be done using Suzuki-Trotter decomposition of the second kind [46].…”

Section: δ-Kickmentioning

confidence: 99%

“…In general, the Floquet topological insulators (FTIs) show rich topological phases that may not have any analogy with the undriven case. For example, generation of higher Chern number in 1D extended Su-Schrieffer-Heeger (E-SSH) model [13,14], emergence of time crystalline phase and period doubling oscillations in 1D time Floquet SSH [15,16], rich entanglement properties of the time periodic Kitaev chain [17,18], Floquet analysis of higher order topological insulators [19][20][21]. These works have continued to draw attention from the community owing to the experimental success in driving quantum systems.…”

Section: Introductionmentioning

confidence: 99%

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Topological properties of a periodically driven Creutz ladder

Roy¹,

Basu²

2023

Preprint

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We have investigated a periodically driven Creutz ladder in presence of two different driving protocols, namely, a sinusoidal drive and a δ-kick imparted to the ladder at regular intervals of time. Specifically, we have studied the topological properties corresponding to the trivial and the non-trivial limits of the static (undriven) case via computing suitable topological invariants. Corresponding to the case where the chiral symmetry of the ladder is intact, in addition to the zero energy modes, π energy modes appear in both these cases. Further, two different frequency regimes of the driving protocol emerge, where the Floquet-Magnus expansion is employed particularly to study the high frequency regime for the sinusoidal drive. Apart from the physics being identical in the high frequency and the static scenarios, the zero energy modes show distinctive features at low and high frequencies. For the sinusoidal drive, there exists a sharp frequency threshold beyond which the zero energy modes only exist in the topological limit, while in the trivial limit, it exist only upto the same threshold frequency. In presence of the δ-kick, the Creutz ladder demonstrates higher values of the topological invariant, and as a consequence, the system possesses larger number of edge modes.

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Section: δ-Kickmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topological properties of a periodically driven Creutz ladder

Roy¹,

Basu²

2023

Preprint

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“…Transport studies in topological materials have been a subject of intense research [7][8][9][10][11]. This is because the separation of edge and bulk in the topological phase leads to exotic transport properties for a system in topological phase [7,12].…”

Section: Introductionmentioning

confidence: 99%

Signature of topology via heat transfer analysis in the Su–Schrieffer–Heeger (SSH) model

Upadhyay,

Tahir Naseem,

Müstecaplıoğlu

et al. 2024

New J. Phys.

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In this work, we explore how thermodynamics can be a potential tool for identifying the topological phase transition. Specifically, we focus on a one-dimensional Su–Schrieffer–Heeger (SSH) chain sandwiched between two fermionic baths. To investigate distinctive thermodynamic signatures associated with the topological phase, we employ heat flow analysis. Our results, derived using a global master equation, unveil a significant suppression of heat flow as we transition from the trivial to the topological phase. This decline in heat flow can be attributed to the reduction in transmission coefficients of non-zero energy modes within the topological phase. It may serve as an indicator of a phase transition. Furthermore, we investigate the heat flow asymmetry to search for phase transition indicators. Interestingly, no asymmetry is observed when employing fermionic baths. However, upon substituting fermionic baths with bosonic ones, we report a non-zero heat flow asymmetry. For SSH model with few fermionic sites, this asymmetry is more pronounced in the topological phase compared to the trivial phase. Therefore, the observed behavior of the heat diode provides an additional means of distinguishing between the topological and trivial phases. Finally, we delve into the contributions from both bulk and edge effects in heat flow and rectification to explore the impact of small system sizes on our findings.

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“…Entanglement [1,2] plays an important role in the unitary dynamics of many-body quantum systems in many different contexts: It marks quantum phase transitions [3]; It behaves differently in the dynamics of thermalizing, integrable and many-body localized quantum systems [4][5][6]; It even allows to detect the existence of topological boundary modes [7][8][9][10]. Recently, attention has been moved also to the behaviour of entanglement in situations beyond the unitary dynamics, where the evolution of monitored systems is considered.…”

Section: Introductionmentioning

confidence: 99%

The impact of different unravelings in a monitored system of free fermions

Piccitto,

Rossini,

Russomanno

2024

Eur. Phys. J. B

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We consider a free-fermion chain undergoing dephasing, described by two different random-measurement protocols (unravelings): a quantum-state-diffusion and a quantum-jump one. Both protocols keep the state in a Slater-determinant form, allowing to address quite large system sizes. We find a bifurcation in the distribution of the measurement operators along the quantum trajectories, that’s to say, there is a point where the shape of this distribution changes from unimodal to bimodal. The value of the measurement strength where this phenomenon occurs is similar for the two unravelings, but the distributions and the transition have different properties reflecting the symmetries of the two measurement protocols. We also consider the scaling with the system size of the inverse participation ratio of the Slater-determinant components and find a power-law scaling that marks a multifractal behaviour, in both unravelings and for any nonvanishing measurement strength. Graphical abstract Position of the maxima of Pn vs $$\gamma $$ γ for the QSD protocol. The two maxima stem continuously and symmetrically at the bifurcation point $$\gamma $$ γ QSD $$\sim 0.2$$ ∼ 0.2 , with a discontinuity of the derivative.

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Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain

Cited by 5 publications

References 83 publications

Topological properties of a periodically driven Creutz ladder

Topological properties of a periodically driven Creutz ladder

Signature of topology via heat transfer analysis in the Su–Schrieffer–Heeger (SSH) model

The impact of different unravelings in a monitored system of free fermions

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