Paper Reading List (By Jun. 2019)

本文探讨了量子热机的最新研究进展,包括利用量子相干性和量子关联性提高效率,以及在不同物理场中实现的实验案例。同时,文中还讨论了强耦合条件下光子统计行为的变化,以及通过超构表面转换光的自旋角动量。

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P.S.

一个文献阅读记录
引用的部分是文章摘要
mainly physics area
by Jun.2019
涉及quantum heat engine & meta surface and optics

后面三篇金融学的论文是乱入的,
只是一门选修课的阅读记录

2018

Nov. to Dec.

PhysRevE.94.042135

Controlling heat flows among three reservoirs asymmetrically coupled to two two-level systems

First, it is shown that by changing the damping rate due to one reservoir, magnitudes of heat currents of the other two reservoirs can behave in completely different manners, namely, although one may be enhanced, the other may instead by suppressed, and vice versa. Second, the sign of the heat current of one reservoir may change if a damping rage or the coupling strength between the two TLSs is swept through a critical value, which depends on the temperature settings for the three reservoirs.

PhysRevA.91.023816

QHE based on generalized Rabi model

We propose a multilevel quantum heat engine with a working medium described by a generalized Rabi model which consists of a two-level system coupled to a single-mode bosonic field. We found that such an engine can produce work with an efficiency close to th Carnot bound when it operates at low temperatures and in th ultrastrong-coupling regime.The interplay of the effects of quantum coherence and quantum correlations on the engine performance is discussed in terms of second-order coherence, quantum mutual information, and the logarithmic negativity of entanglement. We point out that the proposed quantum Otto engine can be implemented experimentally with modern circuit quantum electrodynamic systems where flus qubits van be coupled ultrastrongly to supercondeucting tansmission-line resonators.

2019

Jan. to Jun.

PhysRevX.4.021046

The anisotropic Rabi model

We define the anisotropic Rabi model as the generalization of the spin-boson Rabi model: The Hamiltonian system breaks the parity symmetry; the rotating and counter rotating interactions are governed by two different coupling constants; a further parameter introduces a phase factor in the counter rotating terms. The exact energy spectrum and eigenstates of the generalized model are worked out. The solution is obtained as an elaboration of a recently proposed method for the isotropic limit of the model. In this way, we provide a long-sought solution of a cascade of models with immediate relevance in different physical fields, including (i) quantum optics, a two-level atom in single-mode cross-electric and magnetic fields; (ii) solid-state physics, electrons in semiconductors with Rashba and Dresselhaus spin-orbit coupling; and (iii) mesoscopic physics, Josephson-junction flux-qubit quantum circuits.

10.1140/epjd/e2017-80101-3

A sample of QHE calculation

This paper will investigate a four-stroke quantum heat engine based on the Tavis-Cummings
model. The cycle of the heat engine is similar to the Otto cycle in classical thermodynamics. The relationship between output power as well as cycle efficiency and external physical system parameters are given. Under this condition, the entanglement behavior of the system will be studied. The system can show considerable entanglement by strictly controlling relevant parameters. Unlike common two-level quantum heat engines, efficiency is a function of temperature, showing interesting and unexpected phenomena. Several ways to adjust engine properties by external parameters are proposed, with which the output power and efficiency can be optimized. The heat engine model exhibits high efficiency and output power with the participation of a small number of photons, and decay rapidly as the number of photons increases in entangled area but shows interesting behaviors in non-entangled area of photon numbers.

PhysRevA.96.052119

New calculations on Rabi model, including a phase angle parameter

We study a quantum Otto engine embedding a working substance composed by a two-level system interacting with a harmonic mode. The physical properties of the substance are described by a generalized quantum Rabi model arising in superconducting circuits realizations. We show that light-matter quantum correlations reduction during the hot bath stage and compression stage act as a resource for enhanced work extraction and efficiency respectively. Also, we demonstrate that the an harmonic spectrum of the working substance has a direct impact on the transition from heat engine into refrigerator as the light-matter coupling is increased. These results shed light on the search for optimal conditions in the performance of quantum heat engines.

J.Phys.A: Math.Theor.50.113001

Analytic solutions of Rabi model

This article presents a review of recent developments on various aspects of the quantum Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of confluent Heun functions. The analytic solutions for various generalizations of the quantum Rabi model are also discussed. Results are also reviewed on the level statistics and the dynamics of the quantum Rabi model. The article concludes with an introductory overview of several experimental realization of the quantum Rabi model. An outlook towards future developments is also given.

PhysRevLett.93.140403

So important that describe quantum Otto cycle

With a class of quantum heat engines which consists of two-energy-eigenstate systems undergoing, respectively, quantum adiabatic processes and energy exchange swith heat baths at different stages of a cycle, we are able to clarify some important aspects of the second law of thermodynamics. The quantum heat engines also offer a practical way, as an alternative to Szilard’s engine, to physically realise Maxwell’s daemon. While respecting the second law on the average, they are also capable of extracting more work from the heat baths than is other wise possible in thermal equilibrium.

PhysRevLett.107.100401

Solutions of Rabi model

The Rabi model is a paradigm for interacting quantum systems. It couples a bosonic mode to the smallest possible quantum model, a two-level system. I present the analytical solution which allows us to consider the question of integrability for quantum systems that do not possess a classical limit. A criterion for quantum integrability is proposed which shows that the Rabi model is integrable due to the presence of a discrete symmetry. Moreover, I introduce a generalization with no symmetries; the generalized Rabi model is the first example of a non integrable but exactly solvable system.

PhysRevA.84.043832

A little bit hard for me to understand due to unfamiliarity to master equation QAQ

Cavity and circuit QED study light-matter interaction at its most fundamental level. Yet, this interaction is most often neglected when considering the coupling of this system with an environment. In this paper, we show how this simplification, which leads to the standard quantum opticsm as terequation, is at the root of unphysical effects. Including qubit relaxation and dephasing, and cavity relaxation, we derivea master equation that takes into account the qubit-resonator coupling. Special attention is given to the ultrastrong coupling regime, where the failure of the quantum optical master equation is manifest. In this situation, our model predicts an asymmetry in the vacuum Rabi splitting that could be used to probe dephasing noise at unexplored frequencies. We also show how fluctuations in the qubit frequency can cause side band transitions, squeezing, and Casimir-like photon generation.

PhysRevLett.110.163601

Also hard emmmm

Thermal or chaotic light sources emit radiation characterized by a slightly enhanced probability of emitting photons in bunches, described by a zero-delay second-order correlation function g ( 2 ) = 0 g^{(2)}=0 g(2)=0. Here we explore photon-coincidence counting statistics of thermal cavities in the ultra strong coupling regime, where the atom-cavity coupling rate becomes comparable to the cavity resonance frequency. We find that, depending on the system temperature and coupling rate, thermal photons escaping the cavity can display very different statistical behaviors, characterized by second-order correlation functions approaching zero or greatly exceeding two.

Adfm.201802506

Reference to experiment about meterals

Periodic submiocrometer pillar arrays are fabricated from a photoresponsive azo molecular glass (IA‐Chol) by soft‐lithographic hot embossing with elastomeric poly(dimethylsiloxane) (PDMS) modes. Through deformation of each submicrometer‐sized pillar in response to the local amplitude and polarization of the superimposed electric waves, optical holograms are recorded on the IA‐Chol pillar arrays. When the interference pattern is formed by two polarized beams with opposite‐circular polarizations, the recorded patterns mainly reflect the polarization state variations with spatial phase difference of the interfering waves. When two plane waves with the same linear polarizations are superimposed, where the polarization direction is almost the same as the writing beams, the intensity variation of the superimposed electric waves is recorded by the pillar arrays changing spatially with the phase variations. Various ordered surface patterns with distinct hierarchical configurations are successfully developed by the intensity and polarization modulations of the interfering waves. This approach not only allows to directly visualize the intensity and polarization of the coherent light captured by the holograms, but also provides a powerful platform to fabricate various complex surface patterns. The submicrometer pillar arrays can also be used to record polarization hologram and the images are reconstructed by reference light in diffracted spots.

Science, 2017:eaao5392

Reference to experiment about concept

Optical elements that convert the spin angular momentum (SAM) of light into vortex beams have found applications in classical and quantum optics. These elements, SAM to orbital angular momentum (OAM) converters, are based on the geometric phase and only permit the conversion of left- and right-circular polarizations (spin states) into states with opposite OAM. We present a method for converting arbitrary SAM states into total angular momentum states characterized by a superposition of independent OAM. We design a metasurface that converts left- and right-circular polarizations into states with independent values of OAM, and another device that performs this operation for elliptically polarized states. These results illustrate a general material-mediated connection between SAM and OAM of light and may find applications in producing complex structured light and in optical communication.

10.1364/OE.17.009818

Reference to experiment about theoretical calculation

We study the propagation of off-axis vortices in a paraxial beam formed by two collinear Laguerre-Gauss beams. We show that the vortices move about the beam axis as the light propagates resulting in a rotation of the beam’s transverse profile. This rotation is explained by the Gouy phase acquired by the component beams. Experimental measurements of the angular position of the vortices are in good agreement with a two-mode theory.

10.1098/rspa.1909.0060

Additional reading Orz

The Wave Motion of a Revolving Shaft, and a Suggestion as to the Angular Momentum in a Beam of Circularly Polarised Light by Poynting, J. H.

Journal of Financial Economics.49: BSV

Reading for financial economic course about BSV model

Recent empirical research in finance has uncovered two families of pervasive regularities: underreaction of stock prices to news such as earnings announcements; and overreaction of stock prices to a series of good or bad news. In this paper, we present a parsimonious model of investor sentiment that is, of how investors form beliefs that is consistent with the empirical findings. The model is based on psychological evidence and produces both underreaction and overreaction for a wide range of parameter values.(This abstract was borrowed from another version of this item.)

Journal of Finance.53: DHS

Reading for financial economic course about DHS model

We propose a theory of securities market under- and overreactions based on two well-known psychological biases: investor overconfidence about the precision of private information; and biased self-attribution, which causes asymmetric shifts in investors’ confidence as a function of their investment outcomes. We show that overconfidence implies negative long-lag autocorrelations, excess volatility, and, when managerial actions are correlated with stock mispricing, public-event-based return predictability. Biased self-attribution adds positive short-lag autocorrelations (“momentum”), short-run earnings “drift,” but negative correlation between future returns and long-term past stock market and accounting performance. The theory also offers several untested implications and implications for corporate financial policy. Copyright The American Finance Association.

The Journal of Finance.54: HS

Reading for financial economic course about HS model

We model a market populated by two groups of boundedly rational agents: news- watchers and momentum traders. Each newswatcher observes some private in- formation, but fails to extract other newswatchers information from prices. If information diffuses gradually across the population, prices underreact in the short run. The underreaction means that the momentum traders can profit by trend- chasing. However, if they can only implement simple ~i.e., univariate! strategies, their attempts at arbitrage must inevitably lead to overreaction at long horizons. In addition to providing a unified account of under- and overreactions, the model generates several other distinctive implications.

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