10. Approaching perfect microwave photodetection in circuit QED
B. Peropadre, G. Romero, G. Johansson, C. M. Wilson, E. Solano, J. J. García-Ripoll
arXiv:1101.0016, Physical Review A 84 (6), 063834 (2011)
In this work we propose a microwave photon detector which successfully reaches 100% efficiency with only one absorber. Our design consists of a metastable quantum circuit coupled to a semi-infinite transmission line which performs highly efficient photodetection in a simplified manner as compared to previous proposals. We extensively study the scattering properties of realistic wavepackets against this device, thereby computing the efficiency of the detector. We find that the detector has many operating modes, can detect detuned photons, is robust against design imperfections and can be made broadband by using more than one absorbing element in the design.
9. Detecting ground-state qubit self-excitations in circuit QED: A slow quantum anti-Zeno effect
C. Sabín, J. León, J. J. García-Ripoll
arXiv:1011.6613, Physical Review B 84 (2), 024516 (2011)
In this work we study an ultrastrong coupled qubit-cavity system subjected to slow repeated measurements. We demonstrate that even under a few imperfect measurements it is possible to detect transitions of the qubit from its free ground state to the excited state. The excitation probability grows exponentially fast in analogy with the quantum anti-Zeno effect. The dynamics and physics described in this paper is accessible to current superconducting circuit technology.
8. Fermi Problem with Artificial Atoms in Circuit QED
Carlos Sabín, Marco del Rey, Juan José García-Ripoll, Juan León
arXiv:1103.4129, Physical Review Letters 107 (15), 150402 (2011)
We propose a feasible experimental test of a 1-D version of the Fermi problem using superconducting qubits. We give an explicit non-perturbative proof of strict causality in this model, showing that the probability of excitation of a two-level artificial atom with a dipolar coupling to a quantum field is completely independent of the other qubit until signals from it may arrive. We explain why this is in perfect agreement with the existence of nonlocal correlations and previous results which were used to claim apparent causality problems for Fermi’s two-atom system.
7. Publisher’s Note: Mapping the spatial distribution of entanglement in optical lattices [Phys. Rev. A82, 062321 (2010)]
Emilio Alba, Géza Tóth, Juan José García-Ripoll
Physical Review A 83 (1), 019905 (2011)
6. Quantum Simulation of Quantum Field Theories in Trapped Ions
J. Casanova, L. Lamata, I. L. Egusquiza, R. Gerritsma, C. F. Roos, J. J. García-Ripoll, E. Solano
arXiv:1107.5233, Physical Review Letters 107 (26), 260501 (2011)
We propose the quantum simulation of a fermion and an antifermion field modes interacting via a bosonic field mode, and present a possible implementation with two trapped ions. This quantum platform allows for the scalable add-up of bosonic and fermionic modes, and represents an avenue towards quantum simulations of quantum field theories in perturbative and nonperturbative regimes.
5. Quantum Simulation of the Klein Paradox with Trapped Ions
R. Gerritsma, B. P. Lanyon, G. Kirchmair, F. Zähringer, C. Hempel, J. Casanova, J. J. García-Ripoll, E. Solano, R. Blatt, C. F. Roos
arXiv:1007.3683, Physical Review Letters 106 (6), 060503 (2011)
We report on quantum simulations of relativistic scattering dynamics using trapped ions. The simulated state of a scattering particle is encoded in both the electronic and vibrational state of an ion, representing the discrete and continuous components of relativistic wave functions. Multiple laser fields and an auxiliary ion simulate the dynamics generated by the Dirac equation in the presence of a scattering potential. Measurement and reconstruction of the particle wave packet enables a frame-by-frame visualization of the scattering processes. By precisely engineering a range of external potentials we are able to simulate text book relativistic scattering experiments and study Klein tunneling in an analogue quantum simulator. We describe extensions to solve problems that are beyond current classical computing capabilities.
4. Quantum Simulation of the Majorana Equation and Unphysical Operations
J. Casanova, C. Sabín, J. León, I. L. Egusquiza, R. Gerritsma, C. F. Roos, J. J. García-Ripoll, E. Solano
arXiv:1102.1651, Physical Review X 1 (2), 021018 (2011)
A quantum simulator is a device engineered to reproduce the properties of an ideal quantum model. It allows the study of quantum systems that cannot be efficiently simulated on classical computers. While a universal quantum computer is also a quantum simulator, only particular systems have been simulated up to now. Still, there is a wealth of successful cases, such as spin models, quantum chemistry, relativistic quantum physics and quantum phase transitions. Here, we show how to design a quantum simulator for the Majorana equation, a non-Hamiltonian relativistic wave equation that might describe neutrinos and other exotic particles beyond the standard model. The simulation demands the implementation of charge conjugation, an unphysical operation that opens a new front in quantum simulations, including the discrete symmetries associated with complex conjugation and time reversal. Finally, we show how to implement this general method in trapped ions.
3. Relativistic quantum mechanics with trapped ions
L Lamata, J Casanova, R Gerritsma, C F Roos, J J García-Ripoll, E Solano
arXiv:1106.6222, New Journal of Physics 13 (9), 095003 (2011)
We consider the quantum simulation of relativistic quantum mechanics, as described by the Dirac equation and classical potentials, in trapped-ion systems. We concentrate on three problems of growing complexity. First, we study the bidimensional relativistic scattering of single Dirac particles by a linear potential. Furthermore, we explore the case of a Dirac particle in a magnetic field and its topological properties. Finally, we analyze the problem of two Dirac particles that are coupled by a controllable and confining potential. The latter interaction may be useful to study important phenomena as the confinement and asymptotic freedom of quarks.
2. Seeing Topological Order in Time-of-Flight Measurements
E. Alba, X. Fernandez-Gonzalvo, J. Mur-Petit, J. K. Pachos, J. J. Garcia-Ripoll
arXiv:1105.2775, Physical Review Letters 107 (23), 235301 (2011)
In this work we provide a general methodology to directly measure topological order in cold atom systems. As an application we propose the realisation of a characteristic topological model, introduced by Haldane, using optical lattices loaded with fermionic atoms in two internal states. We demonstrate that time-of-flight measurements directly reveal the topological order of the system in the form of momentum space skyrmions.
1. Selection rules in a strongly coupled qubit-resonator system
T. Niemczyk, F. Deppe, E. P. Menzel, M. J. Schwarz, H. Huebl, F. Hocke, M. Häberlein, M. Danner, E. Hoffmann, A. Baust, E. Solano, J. J. Garcia-Ripoll, A. Marx, R. Gross
arXiv:1107.0810
Superconducting qubits acting as artificial two-level atoms allow for controlled variation of the symmetry properties which govern the selection rules for single and multiphoton excitation. We spectroscopically analyze a superconducting qubit-resonator system in the strong coupling regime under one- and two-photon driving. Our results provide clear experimental evidence for the controlled transition from an operating point governed by dipolar selection rules to a regime where one- and two-photon excitations of the artificial atom coexist. We find that the vacuum coupling between qubit and resonator can be straightforwardly extracted from the two-photon spectra where the detuned two-photon drive does not populate the relevant resonator mode significantly.