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The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, which are beyond bosons and fermions as they possess fractionalized exchange…

Strongly Correlated Electrons · Physics 2021-09-14 Yan-Cheng Wang , Meng Cheng , William Witczak-Krempa , Zi Yang Meng

After a brief discussion of the concepts of fractional exchange and fractional exclusion statistics, we report partly analytical and partly numerical results on thermodynamic properties of assemblies of particles obeying fractional…

Strongly Correlated Electrons · Physics 2011-11-10 F. M. D. Pellegrino , G. G. N. Angilella , N. H. March , R. Pucci

Identical particles exhibit correlations even in the absence of inter-particle interaction, due to the exchange (anti)symmetry of the many-particle wavefunction. Two fermions obey the Pauli principle and anti-bunch, whereas two bosons favor…

Quantum Physics · Physics 2012-09-13 Malte C. Tichy , Markus Tiersch , Florian Mintert , Andreas Buchleitner

In this study, we conducted a detailed investigation into the time evolution of the probability density within a 1D double-well potential hosting a Bose-Fermi mixture. This system comprised spinless bosons and spin one-half fermions with…

Quantum Gases · Physics 2023-11-07 Avella Richard , Grajales Diana , Rubio Juan Pablo

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

Correlations of detection events in two detectors are studied in case of linear excitation of the measuring apparatus. On the basis of classical probability theory and fundamental conservation laws, a general formula is derived for the…

Quantum Physics · Physics 2011-03-01 Sandor Varro

The exchange of spin-0 or spin-1 bosons between fermions or spin-polarised macroscopic objects gives rise to various spin-dependent potentials. We derive the coordinate-space non-relativistic potentials induced by the exchange of such…

High Energy Physics - Phenomenology · Physics 2019-03-06 Pavel Fadeev , Yevgeny V. Stadnik , Filip Ficek , Mikhail G. Kozlov , Victor V. Flambaum , Dmitry Budker

We study conformal field theories describing two massless one-dimensional fields interacting at a single spatial point. The interactions we include are periodic functions of the bosonized fields separately plus a ``magnetic'' interaction…

High Energy Physics - Theory · Physics 2009-07-09 C. G. Callan , I. R. Klebanov , J. M. Maldacena , A. Yegulalp

We disclose the behaviour of quantum and classical correlations among all the different spatial-temporal regions of a space-time with an event horizon, comparing fermionic with bosonic fields. We show the emergence of conservation laws for…

Quantum Physics · Physics 2015-03-13 E. Martin-Martinez , J. Leon

An approach to experimentally exploring electronic correlation functions in mesoscopic regimes is proposed. The idea is to monitor the mesoscopic fluctuations of a tunneling current flowing between the two layers of a semiconductor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , Martin Janssen

Propagation of a Boson-Fermion (B-F) pair in a B-F environment is considered. The possibility of formation of stable strongly correlated B-F pairs, embedded in the continuum, is pointed out. The new Fermi gas of correlated B-F pairs shows a…

Other Condensed Matter · Physics 2009-11-11 A. Storozhenko , P. Schuck , T. Suzuki , H. Yabu , J. Dukelsky

Quantum mechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium. By evaluating the corresponding transition probabilities between many-particle…

Statistical Mechanics · Physics 2014-12-16 Zongping Gong , Sebastian Deffner , H. T. Quan

In multiparticle quantum interference, bosons show rather generally the tendency to bunch together, while fermions can not. This behavior, which is rooted in the different statistics of the particles, results in a higher coincidence rate…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

We present a theory of particles, obeying intermediate statistics ("anyons"), interpolating between Bosons and Fermions, based on the principle of Detailed Balance. It is demonstrated that the scattering probabilities of identical particles…

Quantum Physics · Physics 2008-11-26 R. Acharya , P. Narayana Swamy

According to the identity principle in quantum theory, states of a system consisted of identical particles should maintain unchanged under interchanging between two of the particles. The whole wavefunction should be symmetrized or…

Quantum Physics · Physics 2009-12-08 Wei-Tao Liu , Wei Wu , Ping-Xing Chen , Cheng-Zu Li , Jian-Min Yuan

In this paper we propose a new assignment for mutual exclusion statistics between quasielectrons and quasiholes in the fractional quantum Hall effect. In addition to providing numerical evidence for this assignment, we show that the…

Condensed Matter · Physics 2009-10-28 Wu-Pei Su , Yong-Shi Wu , Jian Yang

We formulate a general path integral approach which describes statistics of current fluctuations in mesoscopic coherent conductors at arbitrary frequencies and in the presence of interactions. Applying this approach to the non-interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. S. Golubev , A. V. Galaktionov , A. D. Zaikin

We propose an experiment to probe the unconventional quantum statistics of quasi-particles in fractional quantum Hall states by measurement of current noise. The geometry we consider is that of a Hall bar where two quantum point contacts…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eytan Grosfeld , Steven H. Simon , Ady Stern

Non-Abelian anyons can exist as point-like particles in two-dimensional systems, and have particle exchange statistics which are neither bosonic nor fermionic. Like in spin systems, the role of fusion (Heisenberg-like) interactions between…

Strongly Correlated Electrons · Physics 2018-08-08 Babatunde M. Ayeni , Robert N. C. Pfeifer , Gavin K. Brennen

In the absence of directional motion it is often hard to recognize athermal fluctuations. Probability currents provide such a measure in terms of the rate at which they enclose area in the reduced phase space. We measure this area enclosing…

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