Quantum simulation architecture for lattice bosons in arbitrary, tunable, external gauge fields

Abstract

I describe a lattice of asymmetrical qubit pairs in arbitrary dimension, with couplings arranged so that the motion of single-qubit excited states mimics the behavior of charged lattice bosons hopping in a magnetic field. I show, in particular, that one can choose the parameters of the many-body circuit to reach a regime where the complex hopping phase between any two elements can be tuned to any value by simply adjusting the relative phases of two applied oscillating voltage signals. I also propose specific realizations of our model using coupled three junction flux qubits or transmon qubits, in which one can reach the strongly interacting bosonic quantum Hall limit where one will find anyonic excitations. This model could also be studied in trapped ions, and the superconducting circuits could be used for topological quantum computation.

Quantum phase transition in a multiconnected superconducting Jaynes-Cummings lattice

“…The technological advancements in superconducting devices provide us with an appealing platform to explore manybody correlations. Analog and digital quantum simulators 16,17 of the superconducting systems have been proposed for numerous many-body effects, including phase transitions in the quantum spin systems [18][19][20][21][22][23][24][25] , topological effects [26][27][28][29] , electronphonon physics 30,31 , and even high-energy physics [32][33][34] . The implementation of these simulators can help us understand many-body phenomena that are hard to solve with traditional condensed matter techniques.…”

Three- and four-body interactions from two-body interactions in spin models: A route to Abelian and non-Abelian fractional Chern insulators

“…We note also that in some physical qubit implementations (such as the one described in section III.C of [38]) of an artificial gauge field, one must consider higher excited modes of the individual qubit devices, and they can no longer be regarded as simple spin-1/2 objects. In this limit one would typically choose one or more excited states to be the "particles" of the theory and generalize the σ ± and σ z operators to be the creation/annihilation and potential terms for these states.…”

“…While addressing the former depends on the specific details of the physical qubits and is beyond the scope of this discussion, in a recent work, one of us showed that artificial gauge fields of arbitrary magnitude and complexity can be engineered in a qubit lattice [38]. Briefly, the proposal consists of a decorated lattice of two types of qubit, labelled by A and B.…”

Fractional quantum Hall states of Rydberg polaritons

“…While strong interactions between microwave photons are readily achievable [15][16][17][18][19][20], the realization of strong high-fidelity interactions between optical photons has remained a challenge [21][22][23]. Only recently, the required strong interaction between optical photons has been implemented in a robust fashion by transforming photons into superpositions of light and highly excited atomic Rydberg states, thus forming polaritons.…”

“…topologically protected, optical devices such as filters [6], switches, and delay lines [12,13]. Finally, once such highly non-classical states of light are released onto freely propagating non-interacting modes, they might be usable as resources for enhanced precision measurements and imaging [14].While strong interactions between microwave photons are readily achievable [15][16][17][18][19][20], the realization of strong high-fidelity interactions between optical photons has remained a challenge [21][22][23]. Only recently, the required strong interaction between optical photons has been implemented in a robust fashion by transforming photons into superpositions of light and highly excited atomic Rydberg states, thus forming polaritons.…”