Fluctuations and Highly Non-linear Phenomena in Superfluids and Superconductors

A special issue of Condensed Matter (ISSN 2410-3896).

Deadline for manuscript submissions: closed (31 January 2019) | Viewed by 14257

Special Issue Editors


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Scuola del Farmaco e Divisione di Fisica, Edificio di Fisica, Università di Camerino, Via Madonna delle Carceri 9, 62032 Camerino, Italy
Interests: high-Tc superconductivity (theory and phenomenology); multiband superconductivity; quantum size effects and shape resonances in superconductors; nanoscale superconductors; superconducting heterostructures; BCS-BEC crossover; pseudogap; superconducting fluctuations; ultracold fermions: superfluidity and BCS-BEC crossover; electron–hole superfluidity
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Special Issue Information

Dear Colleagues,

This Special Issue of Condensed Matter is dedicated to charge, spin, and pair fluctuations and other highly non-linear phenomena in novel superfluid and superconducting systems.

Among the main topics of the Special Issue is the study of fluctuations and BCS-BEC crossover phenomena in low dimensional systems. Very recently, the BCS-BEC crossover has been realized in quasi two-dimensional (2D) ultracold gases made of alkali-metal atoms. Contrary to the 3D case, mean-field theories are completely unreliable for the study of strongly-interacting superfluid fermions in two dimensions because of the huge increase of quantum fluctuations. The 2D BCS-BEC crossover is also interesting for high-Tc superconductivity where the phase diagram of cuprate superconductors can be interpreted in terms of a BCS-BEC crossover as doping is varied. The critical temperature Tc has a wide fluctuation region with pseudo-gap effects not yet fully understood.

Another hot topic of the Special Issue is multiband and multigap superconductors, which have demonstrated the potential for realizing novel coherent quantum phenomena and to control system parameters to enhance the superconducting critical temperature and the pairing energy gaps. Nanostructuring of bulk superconductors in the form of nanofilms, nanostripes, and nanoclusters, or introducing controlled non homogeneities has shown to be able to induce multi-gap and multiband superconductivity and superconducting shape resonances. Very recently, it has been suggested that iron-based superconductors have composite superconductivity, consisting of strong-coupling BEC in the electron band and weak-coupling BCS-like superconductivity in the hole band. Indeed, the intermediate crossover regime between BCS and BEC superconductivity is now considered as one of the most promising regimes in the search for high-Tc superconductivity.

Main Topics:

  • Fluctuations and BCS-BEC crossover phenomena in low dimensional systems
  • Hybrid systems, superconductivity at the interfaces, and coexistence of phases
  • Highly non-linear phenomena: Josephson and Andreev effects, topological defects, skyrmions and solitons, vortex states
  • Novel phenomena in multicomponent/multigap superconductors and superfluids
  • Innovative numerical methods for superfluids and superconductors

Prof. Luca Dell'Anna
Prof. Luca Salasnich
Prof. Andrea Perali
Guest Editors

Manuscript Submission Information

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Published Papers (5 papers)

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Research

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16 pages, 569 KiB  
Article
Effect of Phase Errors on a Quantum Control Protocol Using Fast Oscillations
by Francesco Petiziol and Sandro Wimberger
Condens. Matter 2019, 4(1), 34; https://doi.org/10.3390/condmat4010034 - 22 Mar 2019
Cited by 5 | Viewed by 2787
Abstract
It has been recently shown that fast oscillating control fields can be used to speed up an otherwise slow adiabatic process, making the system always follow an instantaneous eigenvector closely. In applying this method though, one typically assumes perfect phase relations among the [...] Read more.
It has been recently shown that fast oscillating control fields can be used to speed up an otherwise slow adiabatic process, making the system always follow an instantaneous eigenvector closely. In applying this method though, one typically assumes perfect phase relations among the control fields. In this work, we discuss the effect of potential static phase errors. We show that the latter can in some cases produce higher fidelities, leading to an unexpected improvement of the method. This is shown numerically and explained via a perturbative expansion of the error produced by the control strategy. When high-precision phase control is accessible, the results suggest that the phases of the control field can be used as free parameters whose optimization can be beneficial for the control protocol. Full article
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11 pages, 255 KiB  
Article
Zero-Temperature Equation of State of a Two-Dimensional Bosonic Quantum Fluid with Finite-Range Interaction
by Andrea Tononi
Condens. Matter 2019, 4(1), 20; https://doi.org/10.3390/condmat4010020 - 03 Feb 2019
Cited by 7 | Viewed by 2487
Abstract
We derive the two-dimensional equation of state for a bosonic system of ultracold atoms interacting with a finite-range effective interaction. Within a functional integration approach, we employ a hydrodynamic parameterization of the bosonic field to calculate the superfluid equations of motion and the [...] Read more.
We derive the two-dimensional equation of state for a bosonic system of ultracold atoms interacting with a finite-range effective interaction. Within a functional integration approach, we employ a hydrodynamic parameterization of the bosonic field to calculate the superfluid equations of motion and the zero-temperature pressure. The ultraviolet divergences, naturally arising from the finite-range interaction, are regularized with an improved dimensional regularization technique. Full article
8 pages, 16109 KiB  
Article
Many-Body Physics of Low-Density Dipolar Bosons in Box Potentials
by Tommaso Macrì and Fabio Cinti
Condens. Matter 2019, 4(1), 17; https://doi.org/10.3390/condmat4010017 - 22 Jan 2019
Cited by 2 | Viewed by 2812
Abstract
Crystallization is a generic phenomenon in classical and quantum mechanics arising in a variety of physical systems. In this work, we focus on a specific platform, ultracold dipolar bosons, which can be realized in experiments with dilute gases. We reviewed the relevant ingredients [...] Read more.
Crystallization is a generic phenomenon in classical and quantum mechanics arising in a variety of physical systems. In this work, we focus on a specific platform, ultracold dipolar bosons, which can be realized in experiments with dilute gases. We reviewed the relevant ingredients leading to crystallization, namely the interplay of contact and dipole–dipole interactions and system density, as well as the numerical algorithm employed. We characterized the many-body phases investigating correlations and superfluidity. Full article
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11 pages, 736 KiB  
Article
Impact of Lattice Vibrations on the Dynamics of a Spinor Atom-Optics Kicked Rotor
by Caspar Groiseau, Alexander Wagner, Gil S. Summy and Sandro Wimberger
Condens. Matter 2019, 4(1), 10; https://doi.org/10.3390/condmat4010010 - 14 Jan 2019
Cited by 4 | Viewed by 2947
Abstract
We investigate the effect of amplitude and phase noise on the dynamics of a discrete-time quantum walk and its related evolution. Our findings underline the robustness of the motion with respect to these noise sources, and can explain the stability of quantum walks [...] Read more.
We investigate the effect of amplitude and phase noise on the dynamics of a discrete-time quantum walk and its related evolution. Our findings underline the robustness of the motion with respect to these noise sources, and can explain the stability of quantum walks that has recently been observed experimentally. This opens the road to measure topological properties of an atom-optics double kicked rotor with an additional internal spin degree of freedom. Full article
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Review

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22 pages, 4099 KiB  
Review
The Variational Reduction for Low-Dimensional Fermi Gases and Bose–Fermi Mixtures: A Brief Review
by Pablo Díaz, David Laroze and Boris A. Malomed
Condens. Matter 2019, 4(1), 22; https://doi.org/10.3390/condmat4010022 - 10 Feb 2019
Cited by 1 | Viewed by 2523
Abstract
We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose–Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the three-dimensional (3D) equations of motion to 2D and 1D effective [...] Read more.
We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose–Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the three-dimensional (3D) equations of motion to 2D and 1D effective equations. In both cases, comparison of the low-dimensional reductions to the full model is performed, showing very good agreement for ground-state solutions. Some complex dynamical regimes are reported too for the corresponding 1D systems. Full article
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