Dynamical characterization of quadrupole topological phases in superconducting circuits

Switching of topological phase and topological channel via asymmetric hopping modulations in a one-dimensional superconducting circuit lattice

“…Most recently, we have noticed that many beautiful theoretical and experimental results have been achieved by using the powerful platform of superconducting quantum systems, such as Koch et al [32] built a lattice system based on a superconducting microwave cavity system, showing the characteristics of topological insulators; Mei et al [33] used circuit quantum electrodynamics (QED) to build a one-dimensional lattice system, which can realize and detect photonic Chern insulators; Huang et al [34] and Tan et al [35] respectively, demonstrate topological phases in the non-Hermitian system and topological semimetal band structures with odd-even time-reversal symmetry via superconducting quantum circuit lattice systems. In addition, Cao et al [36] proposed a two-dimensional superconducting quantum circuit lattice scheme, studying the energy band structure and anomalous ring structure characteristics of the system; Wu et al [37] used superconducting quantum circuit system to build a tunable two-dimensional lattice system to realize quantum information transfer via the corner states. Hu et al [38]studied the topological phase transition and the edge states based on a circuit quantum electrodynamic lattice, which can map a quasi-three-dimensional topological system.…”

“…Zheng et al [39] constructed five-dimension electric circuit platforms in fully real space and experimentally observe topological phase transitions. Therefore, the motivation comes from the above [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48], we construct a onedimensional topological system based on superconducting circuits according to the current experimental feasibility parameters [49][50][51][52][53][54], and study and control its topological properties, which provides new ways for building scalable quantum networks in the future.…”

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

“…Recent investigations have shown that there also exists the (K − k) D (k > 1) high order topological states, [18][19][20][21][22][23][24] e.g., the 0D topological corner states in a 2D topological system. [25][26][27][28][29][30][31][32][33][34][35] These high order topological state can also be used to implement the topological quantum state transfer, e.g., the corner state transfer in superconducting circuits [36] and photonic lattice. [37,38] The 2D Su-Schrieffer-Heeger (SSH) lattice, [31,[39][40][41][42][43][44] as one of the simplest 2D lattices, exhibits the localized corner states around corner sites under the limit of the weak intracell coupling.…”

Characterization of topological phase of superlattices in superconducting circuits

“…[22] Moreover, due to the flexibility and diversity of superconducting quantum circuits system, it is also an excellent platform to realize exotic topological phases of matter and to probe and explore topologically protected effects, including the detection of topological invariant, [23] topological state transfer, [24,25] and higher-order topological phases. [26,27] In a recent experiment, [28] topological magnon insulator states have been observed in a one-dimensional (1D) superconducting qubit chain with a tunable dimerized spin chain, which is analogue to the Su-Schrieffer-Heeger (SSH) model with two bands. Actually, various extended SSH models have been proposed to study novel topological physics by considering some other modulation terms, such as long range hoppings, [29] periodically driving, [30][31][32] and non-Hermitian modulation.…”