scholarly journals Correlation functions for a strongly coupled boson system and plane partitions

2011 ◽  
Vol 369 (1939) ◽  
pp. 1319-1333 ◽  
Author(s):  
Nikolay Bogoliubov ◽  
Jussi Timonen
Keyword(s):  
Correlation Functions ◽  
Finite Size ◽  
Temperature Limit ◽  
Phase Model ◽  
Strong Interactions ◽  
Scaling Exponent ◽  
Strongly Correlated ◽  
Strongly Coupled ◽  
Plane Partitions ◽  
Hopping Model

A quantum phase model is introduced as a limit for very strong interactions of a strongly correlated q -boson hopping model. The exact solution of the phase model is reviewed, and solutions are also provided for two correlation functions of the model. Explicit expressions, including both amplitude and scaling exponent, are derived for these correlation functions in the low temperature limit. The amplitudes were found to be related to the number of plane partitions contained in boxes of finite size.

scholarly journals Three-dimensional 𝒩 = 2 supersymmetric gauge theories and partition functions on Seifert manifolds: A review

2019 ◽  
Vol 34 (23) ◽  
pp. 1930011 ◽  
Author(s):  
Cyril Closset ◽  
Heeyeon Kim
Keyword(s):  
Correlation Functions ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Partition Functions ◽  
Exact Results ◽  
Strongly Coupled ◽  
Seifert Manifolds ◽  
Recent Developments ◽  
Supersymmetric Gauge ◽  
Chern Simons

We give a pedagogical introduction to the study of supersymmetric partition functions of 3D [Formula: see text] supersymmetric Chern–Simons-matter theories (with an [Formula: see text]-symmetry) on half-BPS closed three-manifolds — including [Formula: see text], [Formula: see text], and any Seifert three-manifold. Three-dimensional gauge theories can flow to nontrivial fixed points in the infrared. In the presence of 3D [Formula: see text] supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities.

scholarly journals THEORY OF ELECTRON SPECTROSCOPIES IN STRONGLY CORRELATED SEMICONDUCTOR QUANTUM DOTS

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5311-5320 ◽  
Author(s):  
MASSIMO RONTANI
Keyword(s):  
Quantum Dots ◽  
Light Scattering ◽  
Strong Correlation ◽  
Finite Size ◽  
Semiconductor Quantum Dots ◽  
Strongly Correlated ◽  
Wigner Crystallization ◽  
Inelastic Light Scattering

Quantum dots may display fascinating features of strong correlation such as finite-size Wigner crystallization. We here review a few electron spectroscopies and predict that both inelastic light scattering and tunneling imaging experiments are able to capture clear signatures of crystallization.

scholarly journals Localisation determines the optimal noise rate for quantum transport

2021 ◽  
Author(s):  
Alexandre Coates ◽  
Brendon W Lovett ◽  
Erik Gauger
Keyword(s):  
Energy Transport ◽  
Optimal Transport ◽  
Detailed Balance ◽  
Finite Size ◽  
Temperature Limit ◽  
Transport Efficiency ◽  
Size Dependent ◽  
Noise Rate ◽  
Pure Dephasing ◽  
The Impact

Abstract Environmental noise plays a key role in determining the efficiency of transport in quantum systems. However, disorder and localisation alter the impact of such noise on energy transport. To provide a deeper understanding of this relationship we perform a systematic study of the connection between eigenstate localisation and the optimal dephasing rate in 1D chains. The effects of energy gradients and disorder on chains of various lengths are evaluated and we demonstrate how optimal transport efficiency is determined by both size-independent, as well as size-dependent factors. By discussing how size-dependent influences emerge from finite size effects we establish when these effects are suppressed, and show that a simple power law captures the interplay between size-dependent and size-independent responses. Moving beyond phenomenological pure dephasing, we implement a finite temperature Bloch-Redfield model that captures detailed balance. We show that the relationship between localisation and optimal environmental coupling strength continues to apply at intermediate and high temperature but breaks down in the low temperature limit.

scholarly journals Geometries and Terahertz Motions Driving Quintet Multiexcitons and Ultimate Triplet-Triplet Dissociations via the Intramolecular Singlet-Fissions

2020 ◽  
Author(s):  
Yasuhiro Kobori ◽  
Masaaki Fuki ◽  
Shunta Nakamura ◽  
Taku Hasobe
Keyword(s):  
Molecular Mechanisms ◽  
Molecular Conformation ◽  
High Energy ◽  
Strongly Correlated ◽  
Spin Conversion ◽  
Paramagnetic Resonance ◽  
Time Resolved ◽  
Strongly Coupled ◽  
Singlet Exciton ◽  
Spin Distributions

Importance of vibronic effects has been highlighted for the singlet-fission (SF) that convert one high-energy singlet exciton into doubled triplet excitons, as strongly correlated multiexcitons. However, molecular mechanisms of spin conversion processes and ultimate de-couplings in the multiexcitons are poorly understood. We have analyzed geometries and exchange couplings of the photoinduced multiexcitons in the pentacene dimers bridged by a phenylene at ortho and meta positions [denoted as <i>o</i>-(Pc)<sub>2</sub> and <i>m</i>-(Pc)<sub>2</sub>] by simulations of the time-resolved electron paramagnetic resonance spectra. We clarified that terahertz molecular conformation dynamics plays a role on the spin conversion from the singlet strongly coupled multiexcitons <sup>1</sup>(TT) to the quintet state <sup>5</sup>(TT). The strongly coupled <sup>5</sup>(TT) multiexcitons are revealed to possess entirely planar conformations stabilized by mutually delocalized spin distributions, while the intramolecular de-coupled spin-correlated triplet pairs generated at 1 microsecond are also stabilized by distorted conformations resulting in two separately localized biradical characters.

scholarly journals Pair correlation functions of strongly coupled two-temperature plasma

2017 ◽  
Vol 24 (9) ◽  
pp. 092703 ◽  
Author(s):  
Nathaniel R. Shaffer ◽  
Sanat Kumar Tiwari ◽  
Scott D. Baalrud
Keyword(s):  
Correlation Functions ◽  
Pair Correlation ◽  
Temperature Plasma ◽  
Pair Correlation Functions ◽  
Strongly Coupled ◽  
Two Temperature

scholarly journals SOUND WAVES IN STRONGLY COUPLED NON-CONFORMAL GAUGE THEORY PLASMA

2005 ◽  
Vol 20 (27) ◽  
pp. 6298-6306 ◽  
Author(s):  
PAOLO BENINCASA
Keyword(s):  
Gauge Theory ◽  
Bulk Viscosity ◽  
Speed Of Sound ◽  
Gauge Theories ◽  
Temperature Limit ◽  
Sound Waves ◽  
Strongly Coupled ◽  
Conformal Theory ◽  
High Temperature Limit ◽  
Conformal Gauge

Gauge/string correspondence provides an efficient method to investigate gauge theories. In this talk we discuss the results of the paper (to appear) by P. Benincasa, A. Buchel and A. O. Starinets, where the propagation of sound waves is studied in a strongly coupled non-conformal gauge theory plasma. In particular, a prediction for the speed of sound as well as for the bulk viscosity is made for the [Formula: see text] gauge theory in the high temperature limit. As expected, the results achieved show a deviation from the speed of sound and the bulk viscosity for a conformal theory. It is pointed out that such results depend on the particular gauge theory considered.

scholarly journals A single-photon switch and transistor enabled by a solid-state quantum memory

Science ◽  
2018 ◽  
Vol 361 (6397) ◽  
pp. 57-60 ◽  
Author(s):  
Shuo Sun ◽  
Hyochul Kim ◽  
Zhouchen Luo ◽  
Glenn S. Solomon ◽  
Edo Waks
Keyword(s):  
Solid State ◽  
Quantum Information Processing ◽  
Single Photon ◽  
Internal State ◽  
Optical Signal ◽  
Quantum Memory ◽  
Strong Interactions ◽  
Strongly Coupled ◽  
Spin Qubit ◽  
Photon Interactions

Single-photon switches and transistors generate strong photon-photon interactions that are essential for quantum circuits and networks. However, the deterministic control of an optical signal with a single photon requires strong interactions with a quantum memory, which has been challenging to achieve in a solid-state platform. We demonstrate a single-photon switch and transistor enabled by a solid-state quantum memory. Our device consists of a semiconductor spin qubit strongly coupled to a nanophotonic cavity. The spin qubit enables a single 63-picosecond gate photon to switch a signal field containing up to an average of 27.7 photons before the internal state of the device resets. Our results show that semiconductor nanophotonic devices can produce strong and controlled photon-photon interactions that could enable high-bandwidth photonic quantum information processing.

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