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What distinguishes trivial from topological superluids in interacting many-body systems where the number of particles is conserved? Building on a class of integrable pairing Hamiltonians, we present a number-conserving, interacting…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Gerardo Ortiz , Jorge Dukelsky , Emilio Cobanera , Carlos Esebbag , Carlo Beenakker

The importance of models with an exact solution for the study of materials with non-trivial topological properties has been extensively demonstrated. Among these, the Kitaev model of a one-dimensional $p$-wave superconductor plays a guiding…

Strongly Correlated Electrons · Physics 2015-11-10 T. O. Puel , P. D. Sacramento , M. A. Continentino

A consistent finite-temperature microscopic theory for the response of strongly coupled superfluid fermionic systems is formulated. We start from the general many-body Hamiltonian with the vacuum (bare) two-fermion interaction and derive…

Quantum Gases · Physics 2025-12-05 Sumit Bhattacharjee , Elena Litvinova

Many quantum condensed matter systems are strongly correlated and strongly interacting fermionic systems, which cannot be treated perturbatively. However, topology allows us to determine generic features of their fermionic spectrum, which…

Other Condensed Matter · Physics 2011-04-07 M. A. Silaev , G. E. Volovik

We propose an experimental implementation of a topological superfluid with ultracold fermionic atoms. An optical superlattice is used to juxtapose a 1D gas of fermionic atoms and a 2D conventional superfluid of condensed Feshbach molecules.…

Quantum Gases · Physics 2013-08-20 Sylvain Nascimbène

We propose a closed form for the statistical distribution of non-interacting Majorana fermions at low temperature. Majorana particles often appear in the contemporary many-body literature in the Kitaev, Fu-Kane, or Sachdev-Ye-Kitaev models,…

Statistical Mechanics · Physics 2019-07-09 Joshuah T. Heath , Kevin S. Bedell

Majorana zero modes are predicted to exist in p+ip (either inherent or effective due to proximity effect) superfluids and are proposed to be used for constructing topological qubits for topologically protected quantum computing. Existing…

Superconductivity · Physics 2018-03-22 Yiruo Lin , Anthony J. Leggett

Motivated by recent advances in the creation of few-body atomic Fermi gases with attractive interactions, we study theoretically the few-to-many-particle crossover of pair excitations, which for large particle numbers evolve into a mode…

Quantum Gases · Physics 2024-12-04 Fabian Resare , Johannes Hofmann

Topological superfluids are of technological relevance since they are believed to host Majorana bound states, a powerful resource for quantum computation and memory. Here we propose to realize topological superfluidity with fermionic atoms…

Quantum Gases · Physics 2017-10-10 L. Isaev , A. Kaufman , G. Ortiz , A. M. Rey

We investigate the non-Hermitian Kitaev chain with non-reciprocal hopping amplitudes and asymmetric superconducting pairing. We work out the symmetry structure of the model and show that particle-hole symmetry (PHS) is preserved throughout…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Ayush Raj , Soham Ray , Sai Satyam Samal

We develop a theory of superconductivity (or superfluidity) based on condensed fermion quartets focusing on the dilute spin-$\frac{1}{2}$ systems at zero temperature. In the spirit of the Bardeen--Cooper--Schrieffer ansatz, a variational…

Superconductivity · Physics 2026-05-29 Qiao-Ru Xu , Congjun Wu

The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., a system with a discrete energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Pasquale Marra , Alessandro Braggio , Roberta Citro

Superfluidity is a fascinating phenomenon that, at the macroscopic scale, leads to dissipationless flow and the emergence of vortices. While these macroscopic manifestations of superfluidity are well described by theories that have their…

Quantum Gases · Physics 2014-06-18 Yangqian Yan , D. Blume

Coupling a quantum particle to a fermionic bath suppresses the particle's amplitude to tunnel, even at zero temperature. While this effect can generally be neglected for gapped baths -- a key feature for superconducting qubits -- , it is…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Elis Roberts , Jan Behrends , Benjamin Béri

Fusing Majorana zero modes leads to multiple outcomes, a property being unique to non-Abelian anyons. Successful demonstration of this nontrivial fusion rule would be a hallmark for the development of topological quantum computation.Here we…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 Yu Zhang , Xiaoyu Zhu , Chunhui Li , Juntao Song , Jie Liu , X. C. Xie

Exact solutions for non-Hermitian quantum many-body systems are rare but may provide valuable insights into the interplay between Hermitian and non-Hermitian components. We report our investigation of a non-Hermitian variant of a p-wave…

Quantum Physics · Physics 2023-09-26 Y. B. Shi , Z. Song

We bring forward a unified framework for the study of the superfluid stiffness and the quantum capacitance of superconducting platforms exhibiting conventional spin-singlet pairing. We focus on systems which in their normal phase contain…

Superconductivity · Physics 2024-08-14 Jun-Ang Wang , Mohamed Assili , Panagiotis Kotetes

Most studies of non-trivial topological systems are carried out in non-interacting models that admit an exact solution. This raises the question, to which extent the consideration of electronic correlations and disorder, present in real…

Strongly Correlated Electrons · Physics 2024-11-12 A. C. P. Lima , M. S. Figueira , Mucio A. Continentino

The coexistence of the universal transverse force and the non-universal friction force on a topological singularity in a superfluid is shown here. Based on the BCS type microscopic theory, we explicitly evaluate the quasiparticle…

Condensed Matter · Physics 2007-05-23 X. -M. Zhu , P. Ao

We study the interacting dimerized Kitaev chain at the symmetry point $\Delta=t$ and the chemical potential $\mu=0$ under open boundary conditions, which can be exactly solved by applying two Jordan-Wigner transformations and a spin…

Strongly Correlated Electrons · Physics 2018-01-03 Yucheng Wang , Jian-Jian Miao , Hui-Ke Jin , Shu Chen
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