Digital Quantum Simulation of Spin Systems in Superconducting Circuits

Heras, U. Las; Mezzacapo, Antonio; Lamata, Lucas; Filipp, Stefan; Wallraff, Andreas; Solano, E.

doi:10.1103/physrevlett.112.200501

Cited by 113 publications

(124 citation statements)

References 33 publications

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Quantum phase transition in a multiconnected superconducting Jaynes-Cummings lattice

Seo

Tian

2015

Phys. Rev. B

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The connectivity and tunability of superconducting qubits and resonators provide us with an appealing platform to study the many-body physics of microwave excitations. Here we present a multi-connected JaynesCummings lattice model which is symmetric with respect to the nonlocal qubit-resonator couplings. Our calculation shows that this model exhibits a Mott insulator-superfluid-Mott insulator phase transition at commensurate fillings, featured by symmetric quantum critical points. Phase diagrams in the grand canonical ensemble are also derived, which confirm the incompressibility of the Mott insulator phase. Different from a general-purposed quantum computer, it only requires two operations to demonstrate this phase transition: the preparation and the detection of commensurate many-body ground state. We discuss the realization of these operations in a superconducting circuit.

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Section: Introductionmentioning

confidence: 99%

Quantum phase transition in a multiconnected superconducting Jaynes-Cummings lattice

Seo

Tian

2015

Phys. Rev. B

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“…Following the method shown in Refs. [30,31], the sign of the qubitqubit coupling coefficients can be reversed by applying a sequence of local qubit rotations. The obtained Hamiltonian is…”

Section: Two-qubit Modelmentioning

confidence: 99%

Ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit circuit QED system

Yang

Wang

2017

Phys. Rev. A

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We study ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit system. In the one-qubit case, three second-order transitions occur and the Goldstone mode emerges under the condition of ultrastrong-coupling strength. Moreover, a first-order phase transition occurs between two different superradiant phases. In the two-qubit case, a two-qubit Hamiltonian with qubit-qubit interactions is analyzed fully quantum mechanically. We show that the quantum phase transition is inhibited even in the ultrastrong-coupling regime in this model. In addition, in the three-qubit model, the superradiant quantum phase transition is retrieved in the ultrastrong-coupling regime. Furthermore, the N -qubit model with U (1) symmetry is studied and we find that the superradiant phase transition is inhibited or restored with the qubit-number parity.

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“…The superconducting circuits include highly-coherent artificial two-level systems (i.e., qubits) and quantum harmonic oscillators (i.e., resonators). These circuit elements can be used to emulate fermionic and bosonic degrees of freedom in a broad range of many-body problems, including quantum spin systems [7][8][9][10][11][12][13][14][15][16], coupled cavity array models [17][18][19], topological phases [20,21], and electron-phonon physics [22,23]. Recent experiments have demonstrated arrays of quantum spins coupled simultaneously to one resonator [24], switching of the Chern number on one or two qubits [25,26] and weak localization of superconducting qubits [27].…”

Section: Introductionmentioning

confidence: 99%

Superconducting circuit probe for analog quantum simulators

You

Tian

2015

Phys. Rev. A

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Analog quantum simulators can be used to study quantum correlation in novel many-body systems by emulating the Hamiltonian of these systems. One essential question in quantum simulation is to probe the properties of an emulated many-body system. Here we present a circuit QED scheme for probing such properties by measuring the spectrum of a superconducting resonator coupled to a quantum simulator. We first study a general framework of this approach, and show that the spectrum of the resonator is directly related to the correlation function of the coupling operator between the resonator and the simulator. We then apply this scheme to a simulator of the transverse field Ising model implemented with superconducting qubits, where the resonance peaks in the resonator spectrum correspond to the frequencies of the elementary excitations. The effects of resonator damping, qubit decoherence, and resonator backaction are also discussed. This setup can be used to probe a broad range of many-body models.

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Digital Quantum Simulation of Spin Systems in Superconducting Circuits

Cited by 113 publications

References 33 publications

Quantum phase transition in a multiconnected superconducting Jaynes-Cummings lattice

Quantum phase transition in a multiconnected superconducting Jaynes-Cummings lattice

Ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit circuit QED system

Superconducting circuit probe for analog quantum simulators

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