Josephson Frequency Singularity in the Noise of Normal Metal-Superconductor Junctions

A singularity at the Josephson frequency in the noise spectral density of a disordered normal metal -- superconductor junction is predicted for bias voltages below the superconducting gap. The non-stationary Aharonov-Bohm effect, recently introduced for normal metals, is proposed as a tool for detecting this singularity. In the presence of a harmonic external field, the derivative of the noise with respect to the voltage bias reveals jumps when the applied frequency is commensurate with the Josephson frequency associated with this bias. The height of these jumps is non-monotonic in the amplitude of the periodic field. The superconducting flux quantum enters this dependence. Additional singularities in the frequency dependent noise are predicted above gap.Comment: 4 pages, 2 figures, revised versio

Supercurrents through gated superconductor-normal-metal-superconductor contacts: the Josephson-transistor

We analyze the transport through a narrow ballistic superconductor-normal- metal-superconductor Josephson contact with non-ideal transmission at the superconductor-normal-metal interfaces, e.g., due to insulating layers, effective mass steps, or band misfits (SIN interfaces). The electronic spectrum in the normal wire is determined through the combination of Andreev- and normal reflection at the SIN interfaces. Strong normal scattering at the SIN interfaces introduces electron- and hole-like resonances in the normal region which show up in the quasi-particle spectrum. These resonances have strong implications for the critical supercurrent $I_c$ which we find to be determined by the lowest quasi-particle level: tuning the potential $\mu_{x0}$ to the points where electron- and hole-like resonances cross, we find sharp peaks in $I_{\rm c}$, resulting in a transitor effect. We compare the performance of this Resonant Josephson-Transistor (RJT) with that of a Superconducting Single Electron Transistor (SSET).Comment: to appear in PRB, 11 pages, 9 figure

Bell inequalities and entanglement in solid state devices

Bell-inequality checks constitute a probe of entanglement -- given a source of entangled particles, their violation are a signature of the non-local nature of quantum mechanics. Here, we study a solid state device producing pairs of entangled electrons, a superconductor emitting Cooper pairs properly split into the two arms of a normal-metallic fork with the help of appropriate filters. We formulate Bell-type inequalities in terms of current-current cross-correlators, the natural quantities measured in mesoscopic physics; their violation provides evidence that this device indeed is a source of entangled electrons.Comment: 4 pages, 1 figur

Converting of Boolean Expression to Linear Equations, Inequalities and QUBO Penalties for Cryptanalysis

There exists a wide range of constraint programming (CP) problems defined on Boolean functions depending on binary variables. One of the approaches to solving CP problems is using specific appropriate solvers, e.g., SAT solvers. An alternative is using the generic solvers for mixed-integer linear programming problems (MILP), but they require transforming expressions with Boolean functions to linear equations or inequalities. Here, we present two methods of such a transformation which applies to any Boolean function defined by explicit rules giving values of the Boolean function for all combinations of its Boolean variables. The first method represents the Boolean function as a linear equation in the original binary variables and, possibly, binary ancillaries, which become additional variables of the MILP problem being composed. The second method represents the Boolean function as a set of linear inequalities in the original binary variables and one additional continuous variable (representing the value of the function). The choice between the first or second method is a trade-off between the number of binary variables and number of linear constraints in the emerging MP problem. The advantage of the proposed approach is that both methods reduce important cryptanalysis problems, such as the preimaging of hash functions or breaking symmetric ciphers as the MILP problems, which are solved by the generic MILP solvers. Furthermore, the first method enables to reduce the binary linear equations to quadratic unconstrained binary optimization (QUBO), by the quantum annealer, e.g., D-Wave

Arrow of time and its reversal on the IBM quantum computer

Uncovering the origin of the “arrow of time” remains a fundamental scientific challenge. Within the framework of statistical physics, this problem was inextricably associated with the Second Law of Thermodynamics, which declares that entropy growth proceeds from the system’s entanglement with the environment. This poses a question of whether it is possible to develop protocols for circumventing the irreversibility of time and if so to practically implement these protocols. Here we show that, while in nature the complex conjugation needed for time reversal may appear exponentially improbable, one can design a quantum algorithm that includes complex conjugation and thus reverses a given quantum state. Using this algorithm on an IBM quantum computer enables us to experimentally demonstrate a backward time dynamics for an electron scattered on a two-level impurity.ISSN:2045-232

Fitting bone conduction hearing devices to children: audiological practices and challenges

Objective: Evidence-based protocols for fitting air conduction hearing aids to children offers a vital resource for audiologists. Fitting protocols for providing BCHDs to children are not well-developed, leaving gaps in clinical practice. This work aims to document current practices and challenges of audiologists who fit BCHDs to children. Design: An online survey was distributed to paediatric audiologists in North America to describe their work with patients who use BCHDs. A retrospective file review was also conducted with a sample of clinics in North America to further understand practice patterns. Study sample: A total of 144 audiologists from North America responded to the online survey. Eleven audiologists from seven clinics in North America participated in the retrospective file review. Results: Results of the survey indicated that audiologists are seeking guidance on how to provide optimal amplification to children who use BCHDs. The aided audiogram is widely used to verify BCHD fittings. Audiologists reported uncertainty about providing optimal amplification to children who wear BCHDs. The file review revealed the routine use of the aided audiogram for verification as well as for validation. Conclusions: For children who use BCHDs, there is a need for clinically feasible electroacoustic verification to accompany appropriate outcome measures

Posterior Glenohumeral Capsular Reconstruction Using an Acellular Dermal Allograft

Posterior shoulder instability is an uncommon and challenging cause of shoulder pain and dysfunction. Surgical management has less reliable results and higher failure rates compared with techniques for anterior shoulder instability. The presence of generalized ligamentous laxity further complicates options for surgical management. If primary capsulolabral repair fails, controversy exists as to the optimal revision procedure. This technical description and video present an arthroscopic technique for reconstruction of the posterior glenohumeral capsule with an acellular dermal allograft to treat posterior instability in a patient with Ehlers-Danlos syndrome and a previously failed posterior capsular plication