Bosonic circuits emulating first-order transitions of quantum spin models
ORAL
Abstract
Superconducting circuit elements such as a superconducting quantum intereference device (SQUID) and its generalization called a superconducting nonlinear asymmetric inductive element (SNAIL) [1] are exploited for superdoncucting detectors and microwave amplifiers, and play essential roles in the study of superconducting quantum computing. In particular, by utilizing the SNAIL in a type of superconducting circuit called a bosonic circuit, for which we cannot ignore multi-level characteristics, it is known that one can construct a universal gate-set for continuous-variable quantum computation [2,3]. Thus, studying such a bosonic circuit of strong nonlinearities is important in a point of view of fundamental physics as well.
In this talk, we discuss a potential device made of bosonic circuits emulating a so-called p-spin model that has been studied in the field of quantum anealing, and discuss first-order phase transitions observed in the circuit. The p-spin model is an quantum spin model in which all-to-all three-body (or more higher-order) interactions between the spins with a uniform strength are present, and is known to exhibit a first-order phase transition between the paramagnetic and ferromagnetic phases [4,5]. Correspondingly, the bosonic circuit we propose exhibits a first-order transition between a vacuum state of the resonator and a finite-photon number state at a certain value of detuning between the resonator frequency and the pump frequency. This proposal potentially gives us a physical platform for studying complex systems such as quantum spins of higher-order spin-spin interactions in a physically feasible setting.
[1] N. E. Frattini et al. Appl. Phys. Lett. 110, 222603 (2017).
[2] T. Hillmann et al. Phys. Rev. Lett. 125, 160501 (2020).
[3] A. M. Eriksson et al. Nat. Commun. 15, 2512 (2024).
[4] T. Jorg et al. Europhys. Lett. 89, 40004 (2010).
[5] Y. Seki and H. Nishimori, Phys. Rev. E 85, 051112 (2012).
[6] SK and T. Imoto, in preparation.
In this talk, we discuss a potential device made of bosonic circuits emulating a so-called p-spin model that has been studied in the field of quantum anealing, and discuss first-order phase transitions observed in the circuit. The p-spin model is an quantum spin model in which all-to-all three-body (or more higher-order) interactions between the spins with a uniform strength are present, and is known to exhibit a first-order phase transition between the paramagnetic and ferromagnetic phases [4,5]. Correspondingly, the bosonic circuit we propose exhibits a first-order transition between a vacuum state of the resonator and a finite-photon number state at a certain value of detuning between the resonator frequency and the pump frequency. This proposal potentially gives us a physical platform for studying complex systems such as quantum spins of higher-order spin-spin interactions in a physically feasible setting.
[1] N. E. Frattini et al. Appl. Phys. Lett. 110, 222603 (2017).
[2] T. Hillmann et al. Phys. Rev. Lett. 125, 160501 (2020).
[3] A. M. Eriksson et al. Nat. Commun. 15, 2512 (2024).
[4] T. Jorg et al. Europhys. Lett. 89, 40004 (2010).
[5] Y. Seki and H. Nishimori, Phys. Rev. E 85, 051112 (2012).
[6] SK and T. Imoto, in preparation.
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Presenters
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Shunsuke Kamimura
- NEC Corporation