Analog superconducting quantum simulator for Holstein polarons

Mei, Feng; Stojanović, Vladimir; Siddiqi, Irfan; Tian, Lin

doi:10.1103/physrevb.88.224502

Cited by 60 publications

(61 citation statements)

References 66 publications

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“…Proposals for the AQS of the related Holstein model have also been put forward. These include simulations using polar molecules (Herrera and Krems, 2011;Herrera et al, 2013), ions (Stojanović et al, 2012) and superconducting circuits (Mei et al, 2013).…”

Section: Hubbard Modelmentioning

confidence: 99%

Quantum simulation

2014

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Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems. However, this difficulty may be overcome by using some controllable quantum system to study another less controllable or accessible quantum system, i.e., quantum simulation. Quantum simulation promises to have applications in the study of many problems in, e.g., condensed-matter physics, high-energy physics, atomic physics, quantum chemistry and cosmology. Quantum simulation could be implemented using quantum computers, but also with simpler, analog devices that would require less control, and therefore, would be easier to construct. A number of quantum systems such as neutral atoms, ions, polar molecules, electrons in semiconductors, superconducting circuits, nuclear spins and photons have been proposed as quantum simulators. This review outlines the main theoretical and experimental aspects of quantum simulation and emphasizes some of the challenges and promises of this fast-growing field.

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Section: Hubbard Modelmentioning

confidence: 99%

Quantum simulation

2014

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“…The field has already matured enough to allow realizations of various quantum spin models, models with bosonic degrees of freedom, and even of those that go beyond the conventional low-energy physics paradigm 4 . In particular, polaronic systems have quite recently attracted attention among researchers in the field, as evidenced by the proposals for simulating such systems with trapped ions 5,6 , cold polar molecules 7,8 , Rydberg atoms or ions 9 , and superconducting (SC) circuits 10 .…”

Section: Introductionmentioning

confidence: 99%

Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions

et al. 2014

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We propose an analog superconducting quantum simulator for a one-dimensional model featuring momentum-dependent (nonlocal) electron-phonon couplings of Su-Schrieffer-Heeger and "breathingmode" types. Because its corresponding coupling vertex function depends on both the electron-and phonon quasimomenta, this model does not belong to the realm of validity of the Gerlach-Löwen theorem that rules out any nonanalyticities in single-particle properties. The superconducting circuit behind the proposed simulator entails an array of transmon qubits and microwave resonators. By applying microwave driving fields to the qubits, a small-polaron Bloch state with an arbitrary quasimomentum can be prepared in this system within times several orders of magnitude shorter than the typical qubit decoherence times. We demonstrate that -by varying the externally-tunable parameters -one can readily reach the critical coupling strength required for observing the sharp transition from a nondegenerate (single-particle) ground state corresponding to zero quasimomentum (Kgs = 0) to a twofold-degenerate small-polaron ground state at nonzero quasimomenta Kgs and −Kgs. Through exact numerical diagonalization of our effective Hamiltonian, we show how this nonanalyticity is reflected in the relevant single-particle properties (ground-state energy, quasiparticle residue, average number of phonons). We also show that the proposed setup provides an ideal testbed for studying the nonequilibrium dynamics of small-polaron formation in the presence of strongly momentum-dependent electron-phonon interactions.

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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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Analog superconducting quantum simulator for Holstein polarons

Cited by 60 publications

References 66 publications

Quantum simulation

Quantum simulation

Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions

Quantum phase transition in a multiconnected superconducting Jaynes-Cummings lattice

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