Topological transitions driven by quantum statistics and their electrical circuit emulation

Olekhno, Nikita A.; Rozenblit, Alina D.; Stepanenko, Andrei A.; Dmitriev, Alexey A.; Bobylev, D. A.; Gorlach, Maxim A.

doi:10.1103/physrevb.105.205113

Cited by 8 publications

(3 citation statements)

References 60 publications

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“…At present, the topological properties of topological insulators have been implemented in electrical circuit [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Topological circuits are primarily composed of inductor-capacitor(LC) networks and can be fabricated on printed circuit board (PCB), which offer the advantages of flexible design, inexpensive electronic components, and well-established technology, and are used to experimentally verify the existence of topological states.…”

Section: Introductionmentioning

confidence: 99%

Topological end states in one-dimensional Su–Schrieffer–Heeger-like chain electric circuits

Huang,

Guo,

Qiu

et al. 2024

Phys. Scr.

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Topological circuits provide a convenient experimental platform for observing topological states. In this work, we construct a one-dimensional Su-Schrieffer-Heeger(SSH)-like chain in topological electric circuits and find two types of end states, but only the type-II end states are pinned at zero admittance. The topological properties can be characterized by the sum of Zak phases, which related to the ratio of inter-cell capacitors to intra-cell capacitors. Theoretical and experimental results, which agree well with each other, of these two end states are well demonstrated by impedance peaks. We examine the robustness of these two end states by adding extra capacitors. Our work enriches the study of topological circuits and provides an example for investigating the exotic topological physics.

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Section: Introductionmentioning

confidence: 99%

Topological end states in one-dimensional Su–Schrieffer–Heeger-like chain electric circuits

Huang,

Guo,

Qiu

et al. 2024

Phys. Scr.

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“…Such a type of BICs can exist in anyonic systems with the statistical angle exceeding a threshold. Anyons are quantum quasi-particles with statistics intermediate between bosons and fermions [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] . The existence of anyons was predicted in the 1980s, and the strong experimental evidence of anyons has emerged recently 33,34 .…”

mentioning

confidence: 99%

“…It is widely known that anyons could play important roles in several areas of modern physics research, such as fractional quantum Hall systems 35 , spin liquids 36 and topological quantum computations 37 . Meanwhile, some recent investigations have shown that quantum statistics could trigger the appearance of many interesting effects, such as anyonic Bloch oscillations 38,39 and topological transitions 40 . Beyond these novel physical phenomena, here, we reveal that exotic BICs can also exist in non-interacting anyonic systems.…”

mentioning

confidence: 99%

Anyonic bound states in the continuum

et al. 2023

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Bound states in the continuum (BICs), which are spatially localized states with energies lying in the continuum of radiating modes, are discovered both in single- and few-body systems with suitably engineered spatial potentials and particle interactions. Here, we reveal a type of BICs that appear in anyonic systems. It is found that a pair of non-interacting anyons can perfectly concentrate on the boundary of a one-dimensional homogeneous lattice when the statistical angle is beyond a threshold. Such a bound state is embedded into the continuum of two-anyon scattering states, and is called as anyonic BICs. In contrast to conventional BICs, our proposed anyonic BICs purely stem from the statistics-induced correlations of two anyons, and do not need to engineer defect potentials or particle interactions. Furthermore, by mapping eigenstates of two anyons to modes of designed circuit networks, the anyonic BICs are experimentally simulated by measuring spatial impedance distributions and associated frequency responses. Our results enrich the understanding of anyons and BICs, and can inspire future studies on exploring correlated BICs with other mechanisms.

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Disorder‐Enhanced Corner State and Topological Corner State Transfer in a 2D Rice–Mele Lattice

Qi,

Li,

Yan

et al. 2024

Adv Quantum Tech

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The corner states in the 2D Su–Schrieffer–Heeger (SSH) lattice are usually sensitive to disorder. It is shown that the uniform disorder and exponentially decayed disorder both can enhance the localizations of the corner states when the alternative onsite energy is introduced into the 2D SSH lattice mapped by superconducting circuit. The enhanced corner states originate from the fluctuations of onsite energy induced by disorders, which gives an example of utilizing the harmful resources to induce the corner states. Furthermore, different from the traditional topological state transfer based on the usual topological boundary states, it is shown that the high order topological corner state transfer can also be implemented in present lattice via adding the special long‐range hopping. The topological corner state transfer demonstrates the feasibility of using topological corner state to transfer quantum information, which supplies the relevant investigations on the applications of high order topological state in quantum information processing.

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Topological transitions driven by quantum statistics and their electrical circuit emulation

Cited by 8 publications

References 60 publications

Topological end states in one-dimensional Su–Schrieffer–Heeger-like chain electric circuits

Topological end states in one-dimensional Su–Schrieffer–Heeger-like chain electric circuits

Anyonic bound states in the continuum

Disorder‐Enhanced Corner State and Topological Corner State Transfer in a 2D Rice–Mele Lattice

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