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The notion of "paired" fermions is central to important condensed matter phenomena such as superconductivity and superfluidity. While the concept is widely used and its physical meaning is clear there exists no systematic and mathematical…

Quantum Physics · Physics 2009-11-13 Christina V. Kraus , Michael M. Wolf , J. Ignacio Cirac , Geza Giedke

We discuss quantum correlations in systems of indistinguishable particles in relation to entanglement in composite quantum systems consisting of well separated subsystems. Our studies are motivated by recent experiments and theoretical…

Quantum Physics · Physics 2015-06-26 K. Eckert , J. Schliemann , D. Bruss , M. Lewenstein

We propose a new method for detecting paired states in either bosonic or fermionic systems using interference experiments with independent or weakly coupled low dimensional systems. We demonstrate that our method can be used to detect both…

Other Condensed Matter · Physics 2009-01-15 V. Gritsev , E. Demler , A. Polkovnikov

We address the problem of identifying the (nonstationary) quantum systems that admit supersymmetric dynamical invariants. In particular, we give a general expression for the bosonic and fermionic partner Hamiltonians. Due to the…

Quantum Physics · Physics 2009-11-07 Ali Mostafazadeh

We discuss the possibility that heavy fermion superconductors involve odd-frequency pairing of the kind first considered by Berezinskii. Using a toy model for odd frequency triplet pairing in the Kondo lattice we are able to examine key…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

We study correlations in a bipartite, Fermionic, free state in terms of perturbations induced by one party on the other. In particular, we show that all so conditioned free states can be modelled by an auxiliary Fermionic system and a…

Quantum Physics · Physics 2009-12-04 M. Fannes , J. Wouters

We formulate a general framework for addressing both odd- and even-frequency superconductivity in Dirac semimetals and demonstrate that the odd-frequency or the Berezinskii pairing can naturally appear in these materials because of the…

Superconductivity · Physics 2019-11-20 P. O. Sukhachov , Vladimir Juricic , A. V. Balatsky

We present a thorough symmetry-based classification of superconducting order parameters that is independent of their microscopic origins. Our approach involves classifying pairing states through the pairwise permutation of spatial,…

Superconductivity · Physics 2025-07-15 Alexander V. Balatsky , Saikat Banerjee

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

A system of a few attractively interacting fermionic $^6$Li atoms in one-dimensional harmonic confinement is investigated. Non-trivial inter-particle correlations induced by interactions in a particle-imbalanced system are studied in the…

Quantum Gases · Physics 2020-04-01 Daniel Pęcak , Tomasz Sowiński

A supersymmetric relativistic quantum theory in the temporal domain is developed for bi-spinor fields satisfying the Dirac equation. The simplest time-domain supersymmetric theory can be postulated for fields with time-dependent mass,…

It has been recently conjectured that the state-independency of quantum contextuality may be lost when the indistinguishability of identical particles is taken into account. Here, we show that quantum state-independent contextuality exists…

Quantum Physics · Physics 2013-03-01 Adan Cabello , Marcelo Terra Cunha

Pair-correlated fermionic atoms are created through dissociation of weakly bound molecules near a magnetic-field Feshbach resonance. We show that correlations between atoms in different spin states can be detected using the atom shot noise…

Other Condensed Matter · Physics 2009-11-11 M. Greiner , C. A. Regal , J. T. Stewart , D. S. Jin

A simple many-fermion system in which there exists N identical fermions in a single spherical orbit with pairing interaction is treated by means of the time-dependent variational approach with a quasi-spin squeezed state with the aim of…

Nuclear Theory · Physics 2007-05-23 Y. Tsue , H. Akaike

We numerically evaluate the entanglement spectrum (singular value decomposition of the wavefunction) of paired states of fermions in two dimensions that break parity and time-reversal symmetries, focusing on the spin-polarized $p_x+ip_y$…

Strongly Correlated Electrons · Physics 2013-02-25 N. Bray-Ali , L. Ding , S. Haas

"What is the difference between space and time?" is an ancient question that remains a matter of intense debate. In Newtonian mechanics time is absolute, while in Einstein's theory of relativity time and space combine into Minkowski…

Materials Science · Physics 2018-04-03 Xiao Dong , QuanSheng Wu , Oleg V. Yazyev , Xin-Ling He , Yongjun Tian , Xiang-Feng Zhou , Hui-Tian Wang

We study a formal extension of the Dirac equation in the framework of a non-commutative two-sheeted space-time. It is shown that this approach naturally extends the classical Dirac theory by doubling the number of fermionic states, which…

High Energy Physics - Theory · Physics 2009-11-10 Fabrice Petit , Michael Sarrazin

A quantitative measure of the pairing correlations present in a cold gas of fermionic atoms can be obtained by studying the dependence of RF spectra on hyperfine state populations. This proposal follows from a sum rule that relates the…

Statistical Mechanics · Physics 2009-11-10 R. A. Duine , A. H. MacDonald

It is well known that bosons and fermions exhibit opposite behaviors when experiencing interference, in the sense that bosons have a tendency to bunch whereas fermions have a tendency to antibunch. Recently, this complementarity was…

Quantum Physics · Physics 2026-04-28 Marco Robbio , Michael G. Jabbour , Nicolas J. Cerf

We investigate pair correlations in trapped fermion and boson gases as a means to probe the quantum states producing the density fluctuations. We point out that "opposite sign correlations" (meaning pair correlations that are positive for…

Quantum Physics · Physics 2007-05-25 Alex D. Gottlieb , Thorsten Schumm
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