Driven spin-boson Luttinger liquids

Kurcz, Andreas; García-Ripoll, Juan José; Bermúdez, A.

doi:10.1088/1367-2630/17/11/115011

Cited by 5 publications

(5 citation statements)

References 50 publications

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“…Alternative approximations that focus on a restricted part of the Hilbert space in a similar way as Matrix Product State representations by keeping only the dominant eigenvalues of reduced density matrices but can be applied in two-dimensional lattices have been introduced by Finazzi et al as a "corner-space renormalization method" [83]. Moreover, a dynamical polaron ansatz has been introduced for treating very strong light-matter couplings [66,151].…”

Section: Calculation Techniquesmentioning

confidence: 99%

Quantum simulation with interacting photons

Hartmann

2016

J. Opt.

238

210

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Enhancing optical nonlinearities so that they become appreciable on the single photon level and lead to nonclassical light fields has been a central objective in quantum optics for many years. After this has been achieved in individual micro-cavities representing an effectively zero-dimensional volume, this line of research has shifted its focus towards engineering devices where such strong optical nonlinearities simultaneously occur in extended volumes of multiple nodes of a network. Recent technological progress in several experimental platforms now opens the possibility to employ the systems of strongly interacting photons these give rise to as quantum simulators. Here we review the recent development and current status of this research direction for theory and experiment. Addressing both, optical photons interacting with atoms and microwave photons in networks of superconducting circuits, we focus on analogue quantum simulations in scenarios where effective photon-photon interactions exceed dissipative processes in the considered platforms.

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Section: Calculation Techniquesmentioning

confidence: 99%

Quantum simulation with interacting photons

Hartmann

2016

J. Opt.

238

210

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“…Because this scheme has excellent time scales, but acquires systematic deviations at moderate ion numbers, it is especially suitable for small-scale proof-of-principle experiments. Both schemes can be implemented with one-dimensional ion chains in linear Paul traps or arrays of micro-traps, exploit only experimentally realistic abilities for controlling and coupling spins and phonons [34][35][36][37][38][39][40][41][42][43][44], and are robust against the most common sources of imperfections.…”

Section: Introductionmentioning

confidence: 99%

Analog quantum simulation of(1+1)-dimensional lattice QED with trapped ions

et al. 2016

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The prospect of quantum simulating lattice gauge theories opens exciting possibilities for understanding fundamental forms of matter. Here, we show that trapped ions represent a promising platform in this context when simultaneously exploiting internal pseudo-spins and external phonon vibrations. We illustrate our ideas with two complementary proposals for simulating lattice-regularized quantum electrodynamics (QED) in (1 + 1) space-time dimensions. The first scheme replaces the gauge fields by local vibrations with a high occupation number. By numerical finite-size scaling, we demonstrate that this model recovers Wilson's lattice gauge theory in a controlled way. Its implementation can be scaled up to tens of ions in an array of micro-traps. The second scheme represents the gauge fields by spins 1/2, and thus simulates a quantum link model. As we show, this allows the fermionic matter to be replaced by bosonic degrees of freedom, permitting smallscale implementations in a linear Paul trap. Both schemes work on energy scales significantly larger than typical decoherence rates in experiments, thus enabling the investigation of phenomena such as string breaking, Coleman's quantum phase transition, and false-vacuum decay. The underlying ideas of the proposed analog simulation schemes may also be adapted to other platforms, such as superconducting qubits.

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“…The nonequilibrium dynamics of the cavity polaritons in this setup can also be investigated. We would like to mention that interconnected qubit-resonator arrays with uniform or opposite couplings were studied in previous works that focus on effective resonator coupling and quantum magnetism [53][54][55] . While our focus here is to study quantum phase transition caused by the interplay of the qubit-resonator couplings, which is distinctively different from that of the previous works.…”

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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Driven spin-boson Luttinger liquids

Cited by 5 publications

References 50 publications

Quantum simulation with interacting photons

Quantum simulation with interacting photons

Analog quantum simulation of(1+1)-dimensional lattice QED with trapped ions

Quantum phase transition in a multiconnected superconducting Jaynes-Cummings lattice

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