Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model.

By using the worldline Monte Carlo technique, matrix product state, and a variational approach à la Feynman, we investigate the equilibrium properties and relaxation features of the dissipative quantum Rabi model, where a two level system is coupled to a linear harmonic oscillator embedded in a viscous fluid. We show that, in the Ohmic regime, a Beretzinski-Kosterlitz-Thouless quantum phase transition occurs by varying the coupling strength between the two level system and the oscillator. This is a nonperturbative result, occurring even for extremely low dissipation magnitude. By using state-of-the-art theoretical methods, we unveil the features of the relaxation towards the thermodynamic equilibrium, pointing out the signatures of quantum phase transition both in the time and frequency domains. We prove that, for low and moderate values of the dissipation, the quantum phase transition occurs in the deep strong coupling regime. We propose to realize this model by coupling a flux qubit and a damped LC oscillator.

Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid.

The one-dimensional, chiral edge channels of the quantum Hall effect are a promising platform in which to implement electron quantum optics experiments; however, Coulomb interactions between edge channels are a major source of decoherence and energy relaxation. It is therefore of large interest to understand the range and limitations of the simple quantum electron optics picture. Here we confirm experimentally for the first time the predicted relaxation and revival of electrons injected at finite energy into an edge channel. The observed decay of the injected electrons is reproduced theoretically within a Tomonaga-Luttinger liquid framework, including an important dissipation towards external degrees of freedom. This gives us a quantitative empirical understanding of the strength of the interaction and the dissipation.

Minimal Excitations in the Fractional Quantum Hall Regime.

We study the minimal excitations of fractional quantum Hall edges, extending the notion of levitons to interacting systems. Using both perturbative and exact calculations, we show that they arise in response to a Lorentzian potential with quantized flux. They carry an integer charge, thus involving several Laughlin quasiparticles, and leave a Poissonian signature in a Hanbury Brown-Twiss partition noise measurement at low transparency. This makes them readily accessible experimentally, ultimately offering the opportunity to study real-time transport of Abelian and non-Abelian excitations.

Current noise as a probe for Wigner molecules.

The effects of a Wigner molecule on the current noise and conductance of a one-dimensional quantum dot with two electrons are investigated. Focusing on a lateral transport setup, the sequential regime is considered. Tunnelling rates through the dot are evaluated within an exact diagonalisation scheme. They strongly depend on electron interactions, showing a markedly different behaviour in the presence of a Wigner molecule with respect to the weak interactions case, and thus modify the transport and current noise and the dot. For weak interactions negative differential conductance and super-Poissonian noise are found. As interactions increase, a Wigner molecule develops: it suppresses the negative differential conductance and turns the shot noise to sub-Poissonian values. In particular, the noise is found to be a sensitive probe of the Wigner molecule.

Thermally enhanced Wigner oscillations in two-electron 1D quantum dots.

Motivated by a recent experiment (Pecker et al 2013 Nat. Phys. 9 576), we study the stability, with respect to thermal effects, of Friedel and Wigner density fluctuations for two electrons trapped in a one-dimensional quantum dot. Diagonalizing the system exactly, the finite-temperature average electron density is computed. While the weak and strong interaction regimes display a Friedel oscillation or a Wigner molecule state at zero temperature, which as expected smear and melt as the temperature increases, a peculiar thermal enhancement of Wigner correlations in the intermediate interaction regime is found. We demonstrate that this effect is due to the presence of two different characteristic temperature scales: T(F), dictating the smearing of Friedel oscillations, and T(W), smoothing Wigner oscillations. In the early Wigner molecule regime, for intermediate interactions, T(F) < T(W) leading to the enhancement of the visibility of Wigner oscillations. These results complement those obtained within the Luttinger liquid picture, valid for larger numbers of particles.

Probing Wigner correlations in a suspended carbon nanotube.

The influence of electron­vibron coupling on the transport properties of a strongly interacting quantum dot built in a suspended carbon nanotube (CNT) is analyzed. The latter is probed by a charged atomic force microscope tip scanned along the axis of the CNT which induces oscillations of the chemical potential and of the linear conductance. These oscillations are due to the competition between finite-size effects and the formation of a Wigner molecule for strong interactions. Such oscillations are shown to be suppressed by the electron­vibron coupling. The suppression is more pronounced in the regime of weak Coulomb interactions, which ensures that probing Wigner correlations in such a system is in principle possible.

Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot.

We evaluate the chemical potential of a one-dimensional quantum dot coupled to an atomic force microscope tip. The dot is described within the Luttinger liquid framework, and the conductance peak positions as a function of the tip location are calculated in the linear and non-linear transport regimes for an arbitrary number of particles. The differences between the chemical potential oscillations induced by the Friedel and Wigner terms are carefully analysed in the whole range of interaction strengths. It is shown that Friedel oscillations, unlike the Wigner ones, are sensitive probes for detecting excited spin states and collective spin density waves involved in the transport.

Anomalous charge tunneling in fractional quantum Hall edge states at a filling factor ν=5/2.

We explain effective charge anomalies recently observed for fractional quantum Hall edge states at ν=5/2 [M. Dolev, Y. Gross, Y. C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Phys. Rev. B 81, 161303(R) (2010)]. The experimental data of differential conductance and excess noise are fitted, using the anti-Pfaffian model, by properly taking into account renormalizations of the Luttinger parameters induced by the coupling of the system with an intrinsic 1/f noise. We demonstrate that a peculiar agglomerate excitation with charge e/2, double the expected e/4 charge, dominates the transport properties at low energies.

Relevance of multiple quasiparticle tunneling between edge states at nu=p/(2np+1).

We present an explanation for the anomalous behavior in tunneling conductance and noise through a point contact between edge states in the Jain series nu=p/(2np+1), for extremely weak backscattering and low temperatures [Y. C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. 91, 216804 (2003)10.1103/PhysRevLett.91.216804]. We consider edge states with neutral modes propagating at finite velocity, and we show that the activation of their dynamics causes the unexpected change in the temperature power law of the conductance. Even more importantly, we demonstrate that multiple-quasiparticle tunneling at low energies becomes the most relevant process. This result will be used to explain the experimental data on current noise where tunneling particles have a charge that can reach p times the single-quasiparticle charge. In this Letter, we analyze the conductance and the shot noise to substantiate quantitatively the proposed scenario.

Negative differential conductance induced by spin-charge separation.

Spin-charge states of correlated electrons in a one-dimensional quantum dot attached to interacting leads are studied in the nonlinear transport regime. With nonsymmetric tunnel barriers, regions of negative differential conductance induced by spin-charge separation are found. They are due to a correlation-induced trapping of higher-spin states without magnetic field and are associated with a strong increase in the fluctuations of the electron spin.

Control of spin in quantum dots with non-Fermi-liquid correlations.

Spin effects in the transport properties of a quantum dot with spin-charge separation are investigated. It is found that the nonlinear transport spectra are dominated by spin dynamics. Strong spin polarization effects are observed in a magnetic field. They can be controlled by varying gate and bias voltages. Complete polarization is stable against interactions. When polarization is not complete it is power law enhanced by non-Fermi-liquid effects.

Complete regression of human fibrosarcoma xenografts after local Newcastle disease virus therapy.

We have recently demonstrated that a single local injection of the avian pathogen Newcastle disease virus (NDV; strain 73-T) causes complete regression of human neuroblastoma xenografts in athymic mice (R. M. Lorence, K. W. Reichard, B. B. Katubig, H. M. Reyes, A. Phuangsab, B. R. Mitchell, C. J. Cascino, R. J. Walter, and M. E. Peeples. J. Natl. Cancer Inst., 86: 1228-1233, 1994). In this report, we tried to determine if this in vivo antineoplastic effect of NDV extends to human sarcomas. Athymic mice with s.c. HT1080 fibrosarcoma xenografts (7-14 mm) were randomly divided into two groups and treated i.t. with a single injection of either 10(7) plaque-forming units of NDV or phosphate-buffered saline. Complete tumor regression occurred in 8 of 10 mice treated with NDV while unabated tumor growth occurred in all 9 mice treated with phosphate-buffered saline (P < 0.001). To determine if complete tumor regression was long lasting, the 8 mice were monitored for 1 year, during which time no tumor recurred. To test the antitumor effects of NDV on tumors derived from a fresh human sarcoma, a similar experiment was performed in athymic mice using TH15145 synovial sarcoma xenografts at their first and second passages. Of 9 mice with TH15145 xenografts, a single i.t. injection of NDV (10(7) plaque-forming units) caused complete regression of 3 tumors and > 80% regression in 3 more tumors. In contrast, tumors in all 5 mice treated with phosphate-buffered saline exhibited unabated growth (P < 0.03 for > 80% tumor regression). Since HT1080 fibrosarcoma cells express the N-ras oncogene, we explored the effects that transfection of this oncogene has on the sensitivity to NDV. Cultured human fibroblasts that were made tumorigenic following N-ras-transfection were found to be 1000-fold more sensitive to NDV than normal fibroblasts in a cytotoxicity assay. Oncogene expression by the HT1080 fibrosarcoma may therefore contribute to the long-lasting complete regression of this sarcoma following a single local injection of NDV.