Emulating Many-Body Localization with a Superconducting Quantum Processor

Xu, Kai; Chen, Jinjun; Zeng, Yu‐Jia; Zhang, Yu-Ran; Song, Cunxian; Liu, Wuxin; Guo, Qiujiang; Zhang, Pengfei; Xu, Da; Deng, Hui; Huang, Keqiang; Wang, H.; Zhu, Xiaobo; Zheng, Dewen; Fan, Heng

doi:10.1103/physrevlett.120.050507

Cited by 283 publications

(222 citation statements)

References 45 publications

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“…Although energy scaling arguments [52] suggest that manybody localization does not occur in Dim > 1, at least in the thermodynamic limit, signatures of localization have been observed in two-dimensional disordered optical lattices [53]. Localization has also been observed in small ion trap systems of up to 10 long-range interacting spins [54,55]. Penning traps offer an order of magnitude increase in the number of spins, which makes them an ideal setup for simulating two-dimensional physics.…”

Section: B Details Of the Lr Ising Hamiltonianmentioning

confidence: 99%

Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice

2018

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Obtaining quantitative ground-state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate that the ground states of these systems on two-dimensional lattices can be efficiently obtained using state-of-the-art translation-invariant variants of matrix product states and density-matrix renormalization-group algorithms. We use these methods to calculate the fully-quantitative ground-state phase diagram of the long-range interacting triangular Ising model with a transverse field on six-leg infinite-length cylinders and scrutinize the properties of the detected phases. We compare these results with those of the corresponding nearest neighbor model. Our results suggest that, for such long-range Hamiltonians, the long-range quantum fluctuations always lead to long-range correlations, where correlators exhibit power-law decays instead of the conventional exponential drops observed for short-range correlated gapped phases. Our results are relevant for comparisons with recent ion-trap quantum simulator experiments that demonstrate highly-controllable long-range spin couplings for several hundred ions.

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Section: B Details Of the Lr Ising Hamiltonianmentioning

confidence: 99%

Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice

2018

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“…As experimentally demonstrated in [49], the many-body localized state may be still attainable within a short time scale when the thermalization rate of the system with N t 0, 0…”

Section: Inhomogeneous Circuitmentioning

confidence: 86%

“…define the new x-and y-components of Pauli matrix as x k corresponds to the long-range spin-spin interaction, B=E J plays the role of the external field, and the inhomogeneity D k =E J,k −E J acts as the site-dependent disordered potential. Unlike the superconducting circuit in[49], the nearest-neighbor J k,k±1 do not dominate. The last term in H Ising with at the sweet point N g1 2…”

mentioning

confidence: 96%

Relaxation of Rabi dynamics in a superconducting multiple-qubit circuit

Kwek

Dumke

2018

J. Phys. Commun.

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We investigate a superconducting circuit consisting of multiple capacitively-coupled charge qubits. The collective Rabi oscillation of qubits is numerically studied in detail by imitating environmental fluctuations according to the experimental measurement. For the quantum circuit composed of identical qubits, the energy relaxation of the system strongly depends on the interqubit coupling strength. As the qubit-qubit interaction is increased, the system's relaxation rate is enhanced first and then significantly reduced. In contrast, the inevitable inhomogeneity caused by the nonideal fabrication always accelerates the collective energy relaxation of the system and weakens the interqubit correlation. However, such an inhomogeneous quantum circuit is an interesting test bed for studying the effect of the system inhomogeneity in quantum many-body simulation. IntroductionOwing to the fascinating properties such as flexibility, tunability, scalability, and strong interaction with electromagnetic fields, superconducting Josephson-junction circuits provide an outstanding platform for quantum information processing (QIP) [1, 2], quantum simulation of many-body physics [3][4][5], and exploring the fundamentals of quantum electrodynamics in and beyond the ultrastrong-coupling regime [6,7]. Additionally, hybridizing these solid-state devices with the atoms may enable the information transfer between macroscopic and microscopic quantum systems [8][9][10][11][12][13], where the superconducting circuits play the role of rapid processor while the atoms act as the long-term memory. Nonetheless, the strong coupling to the environmental noise significantly limits the energy-relaxation (T 1 ) and dephasing (T 2 ) times of superconducting circuits [14][15][16].Recently, there has been focus on large-scale QIP [17,18]. Several network schemes have already been demonstrated in experiments: one-dimensional spin chain with the nearest-neighbor interaction [19,20], twodimensional lattice with quantum-bus-linked qubits [21,22], multiple artificial atoms interacting with the same resonator [17], and many cavities coupled to a superconducting qubit [23]. However, only little attention has been paid to the quantum circuit composed of nearly identical superconducting qubits, where an arbitrary individual directly interacts with others and, in addition, all qubits are biased by the same voltage, current, or magnetic bias and are exposed to the same fluctuation source. Studying such a multiple-qubit architecture is of importance to superconducting QIP network. For one thing, the nearest-or next-nearest-neighbour-coupling approximation, which is commonly employed in scalable superconducting schemes [24][25][26], does not always hold the truth in realistic systems. For another, transferring the quantum information from one processor to another over a long distance, which relies on the long-range interqubit coupling, is essential for cluster quantum computing [27] and quantum algorithms [28]. Moreover, in a large-scale network composed of strong o...

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“…The second line in Eq. (1) represents the SSH interaction Hamiltonian with tunable coupling strengths t 1 and t 2 , which could be implemented in superconducting qubit circuits [37,38,[53][54][55][56][57]. Thus, we here assume that t 1 = t 0 (1 − cos ϕ) and t 2 = t 0 (1 + cos ϕ) with a tunable parameter ϕ.…”

mentioning

confidence: 99%

“…Cavity induced coupling between two edge modes-. When the cavity is far detuned from qubits, i.e., g 0 ∆ 0 (let ∆ 0 = ω 0 −ω c ), virtual-photons-mediated interactions among qubits g 2 0 /∆ 0 can be obtained [38,56], as shown in Fig. 1(d).…”

mentioning

confidence: 99%

Bandgap-assisted quantum control of topological edge states in a cavity

Nie

Liu

2020

Phys. Rev. Research

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Quantum matter with exotic topological order has potential applications in quantum computation. However, in present experiments, the manipulations on topological states are still challenging. We here propose an architecture for quantum control of topological matter. We consider a topological superconducting qubit array with Su-Schrieffer-Heeger (SSH) Hamiltonian which couples to a microwave cavity. The light-matter interactions are analyzed by exploiting topological bandgap in the qubit array. With proper cavity-qubits couplings, edge states and topological phase transition can be spectroscopically probed by the cavity. And the reflection spectrum shows a signature of vacuum Rabi splitting for edge states. Moreover, with the protection of topological bandgap, cavity induces nonlocal interaction between edge states. Quantum interference of emissions from two edge states is discussed. Our work may pave a way for topological quantum state engineering.

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Emulating Many-Body Localization with a Superconducting Quantum Processor

Cited by 283 publications

References 45 publications

Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice

Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice

Relaxation of Rabi dynamics in a superconducting multiple-qubit circuit

Bandgap-assisted quantum control of topological edge states in a cavity

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