Dynamical pair correlations of classical and quantum fluids perturbed with weak long-range forces

2010 ◽  
Vol 389 (7) ◽  
pp. 1380-1390 ◽  
Author(s):  
J.S. Høye
Keyword(s):  
Long Range ◽  
Quantum Fluids ◽  
Pair Correlations

Long-range pair correlations in dilute gases

1975 ◽  
Vol 13 (5) ◽  
pp. 385-388 ◽  
Author(s):  
John M. Blatt ◽  
Alex H. Opie
Keyword(s):  
Long Range ◽  
Pair Correlations ◽  
Dilute Gases

scholarly journals PAIR EXCITATIONS AND VERTEX CORRECTIONS IN FERMI FLUIDS AND THE DYNAMIC STRUCTURE FUNCTION OF TWO-DIMENSIONAL 3He

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2055-2066 ◽  
Author(s):  
H. M. BÖHM ◽  
H. GODFRIN ◽  
E. KROTSCHECK ◽  
H. J. LAUTER ◽  
M. MESCHKE ◽  
...  
Keyword(s):  
Ad Hoc ◽  
Equations Of Motion ◽  
Random Phase ◽  
Dynamic Structure ◽  
Approximate Solutions ◽  
Quantum Fluids ◽  
Pair Correlations ◽  
Vertex Corrections ◽  
Dependent Pair ◽  
Strongly Interacting

We use the equations–of–motion approach for time–dependent pair correlations in strongly interacting Fermi liquids to develop a theory of the excitation spectrum and the single–particle self energy in such systems. We present here the fully correlated equations and their approximate solutions for 3 He . Our theory has the following properties: It reduces to both, i) the "correlated" random–phase approximation (RPA) for strongly interacting fermions if the two–particle–two–hole correlations are ignored, and, ii) to the correlated Brillouin–Wigner perturbation theory for boson quantum fluids in the appropriate limit. iii) It preserves the two first energy–weighted sum rules, and systematically improves upon higher ones. iv) A familiar problem of the standard RPA is that it predicts a roton energy that lies more than a factor of two higher than what is found in experiments. A popular cure for this is to introduce an effective mass in the Lindhard function. No such ad–hoc assumption is invoked in our work. We demonstrate that the inclusion of correlated pair–excitations improves the dispersion relation significantly. Finally, a novel form of the density response function is derived that arises from vertex corrections in the proper polarization.

scholarly journals Violent relaxation in quantum fluids with long-range interactions

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Ryan Plestid ◽  
Perry Mahon ◽  
D. H. J. O'Dell
Keyword(s):  
Long Range ◽  
Quantum Fluids ◽  
Long Range Interactions

Long-Range and Elementary Contributions for Quantum Fluids at Zero Temperature

1986 ◽  
pp. 97-106
Author(s):  
S. Rosati ◽  
M. Viviani ◽  
E. Buendìa ◽  
A. Fabrocini
Keyword(s):  
Long Range ◽  
Quantum Fluids ◽  
Zero Temperature

Lattice statistics in a magnetic field. II. Order and correlations of a two-dimensional super-exchange antiferromagnet

1960 ◽  
Vol 256 (1287) ◽  
pp. 502-513 ◽  
Keyword(s):  
Magnetic Field ◽  
Long Range ◽  
Pair Correlation ◽  
Configurational Entropy ◽  
Square Lattice ◽  
Lattice Statistics ◽  
Zero Field ◽  
Two Dimensional ◽  
Ising Lattice ◽  
Pair Correlations

The long-range order and pair correlation functions of a two-dimensional super-exchange antiferromagnet in an arbitrary magnetic field are derived rigorously from properties of the standard square Ising lattice in zero field. (The model investigated was described in part I: it is a decorated square lattice with magnetic spins on the bonds coupled antiferromagnetically via non-magnetic spins on the vertices.) The behaviour near the transition temperature in a finite field is similar to that of the normal plane lattice, i. e. the long-range orders or spontaneous magnetizations of the sublattices vanish as ( T t – T ) ⅛ and the pair correlations behave as ω c + W ( T – T t ) ln | T – T t |. The configurational entropy is discussed and the anomalous entropy in the critical field at zero temperature is calculated exactly.

scholarly journals Long-range supercurrents through a chiral non-collinear antiferromagnet in lateral Josephson junctions

2021 ◽  
Author(s):  
Kun-Rok Jeon ◽  
Binoy Krishna Hazra ◽  
Kyungjune Cho ◽  
Anirban Chakraborty ◽  
Jae-Chun Jeon ◽  
...  
Keyword(s):  
Long Range ◽  
Quantum Interference ◽  
Berry Phase ◽  
Atomic Scale ◽  
Cooper Pairs ◽  
Pair Correlations ◽  
Spin Correlations ◽  
Spin Polarized ◽  
Phase Engineering ◽  
Proximity Coupling

AbstractThe proximity-coupling of a chiral non-collinear antiferromagnet (AFM)1–5 with a singlet superconductor allows spin-unpolarized singlet Cooper pairs to be converted into spin-polarized triplet pairs6–8, thereby enabling non-dissipative, long-range spin correlations9–14. The mechanism of this conversion derives from fictitious magnetic fields that are created by a non-zero Berry phase15 in AFMs with non-collinear atomic-scale spin arrangements1–5. Here we report long-ranged lateral Josephson supercurrents through an epitaxial thin film of the triangular chiral AFM Mn3Ge (refs. 3–5). The Josephson supercurrents in this chiral AFM decay by approximately one to two orders of magnitude slower than would be expected for singlet pair correlations9–14 and their response to an external magnetic field reflects a clear spatial quantum interference. Given the long-range supercurrents present in both single- and mixed-phase Mn3Ge, but absent in a collinear AFM IrMn16, our results pave a way for the topological generation of spin-polarized triplet pairs6–8 via Berry phase engineering15 of the chiral AFMs.

scholarly journals Observing the loss and revival of long-range phase coherence through disorder quenches

2022 ◽  
Vol 119 (1) ◽  
pp. e2111078118
Author(s):  
Benjamin Nagler ◽  
Sian Barbosa ◽  
Jennifer Koch ◽  
Giuliano Orso ◽  
Artur Widera
Keyword(s):  
Long Range ◽  
Quantum Dynamics ◽  
Quantum Coherence ◽  
Body Wave ◽  
Quantum Systems ◽  
Phase Coherence ◽  
Quantum Fluids ◽  
Three Dimensions ◽  
Pitaevskii Equation ◽  
Many Body

Relaxation of quantum systems is a central problem in nonequilibrium physics. In contrast to classical systems, the underlying quantum dynamics results not only from atomic interactions but also from the long-range coherence of the many-body wave function. Experimentally, nonequilibrium states of quantum fluids are usually created using moving objects or laser potentials, directly perturbing and detecting the system’s density. However, the fate of long-range phase coherence for hydrodynamic motion of disordered quantum systems is less explored, especially in three dimensions. Here, we unravel how the density and phase coherence of a Bose–Einstein condensate of 6Li2 molecules respond upon quenching on or off an optical speckle potential. We find that, as the disorder is switched on, long-range phase coherence breaks down one order of magnitude faster than the density of the quantum gas responds. After removing it, the system needs two orders of magnitude longer times to reestablish quantum coherence, compared to the density response. We compare our results with numerical simulations of the Gross–Pitaevskii equation on large three-dimensional grids, finding an overall good agreement. Our results shed light on the importance of long-range coherence and possibly long-lived phase excitations for the relaxation of nonequilibrium quantum many-body systems.

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