Quantum transport and localization in 1d and 2d tight-binding lattices

Karamlou, Amir H.; Braumüller, Jochen; Yanay, Yariv; Paolo, Agustín Di; Harrington, P. M.; Kannan, Bharath; Kim, David; Kjærgaard, Morten; Melville, Alexander; Muschinske, Sarah E.; Niedzielski, Bethany; Vepsäläinen, Antti; Winik, Roni; Yoder, Jonilyn; Schwartz, Maurice L.; Tahan, Charles; Orlando, Terry P.; Gustavsson, Simon; Oliver, William

doi:10.1038/s41534-022-00528-0

Cited by 38 publications

(27 citation statements)

References 53 publications

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“…[ 10,11 ] Furthermore, spin chain systems can describe and be used to model a wide variety of different physical implementations. Examples include quantum dots, [ 3,12,13 ] trapped ions, [ 14 ] superconducting qubits, [ 15,16 ] and coupled optical waveguides. [ 17 ]…”

Section: Introductionmentioning

confidence: 99%

“…[10,11] Furthermore, spin chain systems can describe and be used to model a wide variety of different physical implementations. Examples include quantum DOI: 10.1002/qute.202200013 dots, [3,12,13] trapped ions, [14] superconducting qubits, [15,16] and coupled optical waveguides. [17] Spin networks (SN), on the other hand, can have a topology more complex than linear spin chains [18,19] and have applications which include quantum sensing.…”

Section: Introductionmentioning

confidence: 99%

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Unitary Design of Quantum Spin Networks for Robust Routing, Entanglement Generation, and Phase Sensing

D’Amico

Estarellas³

et al. 2022

Adv Quantum Tech

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Spin chains can be used to describe a wide range of platforms for quantum computation and quantum information. They enable the understanding, demonstration, and modeling of numerous useful phenomena, such as high fidelity transfer of quantum states, creation and distribution of entanglement, and creation of resources for measurement-based quantum processing. In this paper, a more complex spin system, a 2D spin network (SN) engineered by applying suitable unitaries to two uncoupled spin chains, is studied. Considering only the single-excitation subspace of the SN, it is demonstrated that the system can be operated as a router, directing information through the SN. It is also shown that it can serve to generate maximally entangled states between two sites. Furthermore, it is illustrated that this SN system can be used as a sensor device able to determine an unknown phase applied to a system spin. A detailed modeling investigation of the effects of static disorder in the system shows that this system is robust against different types of disorder.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unitary Design of Quantum Spin Networks for Robust Routing, Entanglement Generation, and Phase Sensing

D’Amico

Estarellas³

et al. 2022

Adv Quantum Tech

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“…Superconducting quantum devices have arisen as a practical platform for creating and studying synthetic quantum matter [1] through, for example, the realizations of a Mott insulator [2] and many-body localization [3][4][5][6][7], as well as for probing the propagation of singleand many-body quantum information [8][9][10][11]. Their remarkable progress has been made possible by universal single-site control, high-accuracy measurements, scalability, and connectivity, all combined with low dissipation and decoherence rates [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…In other words, the hard-core boson model is the many-body version of the two-level truncation. Notably, most of the experimental quantum dynamics studies have limited themselves to this case where no transmon is initially excited above the qubit subspace [3,6,8,10,11,16].…”

Section: Introductionmentioning

confidence: 99%

Beyond hard-core bosons in transmon arrays

Mansikkamäki¹,

Laine²,

Atte³

et al. 2022

Preprint

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Arrays of transmons have proven to be a viable medium for quantum information science and quantum simulations. Despite their widespread popularity as qubit arrays, there remains yet untapped potential beyond the two-level approximation or, equivalently, the hard-core boson model. With the higher excited levels included, coupled transmons naturally realize the attractive Bose-Hubbard model. The dynamics of the model has been difficult to study due to unfavorable scaling of the dimensionality of the Hilbert space with the system size. In this work, we present a framework for describing the effective unitary dynamics of highly-excited states of coupled transmons based on high-order degenerate perturbation theory. This allows us to describe various collective phenomenasuch as bosons stacked onto a single site behaving as a single particle, edge-localization, and effective longer-range interactions -in a unified, compact and accurate manner. While our examples deal with one-dimensional chains of transmons for the sake of clarity, the theory can be readily applied to more general geometries.

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“…Near-equilibrium, minimal realizations of superconductors [21], Mott insulators [22], and topological bands [17,23] have elucidated the essential physics of these materials. Lattice-site [24] and time [25] resolved probes have exposed previously inaccessible quantities like entanglement [26,27] to direct observation.…”

Section: Introductionmentioning

confidence: 99%

Disorder-Assisted Assembly of Strongly Correlated Fluids of Light

Saxberg,

Vrajitoarea,

Roberts

et al. 2022

Preprint

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Guiding many-body systems to desired states is a central challenge of modern quantum science, with applications from quantum computation [1, 2] to many-body physics [3] and quantum-enhanced metrology [4]. Approaches to solving this problem include step-by-step assembly [5][6][7], reservoir engineering to irreversibly pump towards a target state [8-10], and adiabatic evolution from a known initial state [11,12]. Here we construct low-entropy quantum fluids of light in a Bose Hubbard circuit by combining particle-by-particle assembly and adiabatic preparation. We inject individual photons into a disordered lattice where the eigenstates are known & localized, then adiabatically remove this disorder, allowing quantum fluctuations to melt the photons into a fluid. Using our platform [13], we first benchmark this lattice melting technique by building and characterizing arbitrary single-particle-in-a-box states, then assemble multi-particle strongly correlated fluids. Inter-site entanglement measurements performed through single-site tomography indicate that the particles in the fluid delocalize, while two-body density correlation measurements demonstrate that they also avoid one another, revealing Friedel oscillations characteristic of a Tonks-Girardeau gas [14,15]. This work opens new possibilities for preparation of topological and otherwise exotic phases of synthetic matter [3,16,17].

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Quantum transport and localization in 1d and 2d tight-binding lattices

Cited by 38 publications

References 53 publications

Unitary Design of Quantum Spin Networks for Robust Routing, Entanglement Generation, and Phase Sensing

Unitary Design of Quantum Spin Networks for Robust Routing, Entanglement Generation, and Phase Sensing

Beyond hard-core bosons in transmon arrays

Disorder-Assisted Assembly of Strongly Correlated Fluids of Light

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