Nonclassicality revival of photon-added displaced thermal states in the amplitude decay channel

2020 ◽  
Vol 98 (5) ◽  
pp. 458-463 ◽  
Author(s):  
Ran Zhang ◽  
Xiang-Guo Meng ◽  
Jian-Meng Sun ◽  
Ji-Suo Wang
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Thermal State ◽  
Decay Channel ◽  
Product Representation ◽  
Normal Product ◽  
Decoherence Rate ◽  
Thermal States

In this paper, the decoherence features of the photon-added displaced thermal state (PADTS) in the amplitude decay channel were studied by analytically and numerically investigating the time evolution of the Wigner function. The normal product representation of density for the PADTS is presented. The results indicate that the nonclassicality of PADTS can revive after disappearing with time. This kind of revival can maintain for a period of time and inevitably disappear eventually. However, we find that the operation of adding photons has the effect of reducing the decoherence rate of PADTS in the amplitude decay channel, although it also can decrease the PADTS’s nonclassicality markedly.

NEW APPLICATION OF THERMO FIELD DYNAMICS IN SIMPLIFYING THE CALCULATION OF WIGNER FUNCTIONS

2003 ◽  
Vol 18 (11) ◽  
pp. 733-742 ◽  
Author(s):  
HONGYI FAN
Keyword(s):  
Matrix Element ◽  
Wigner Function ◽  
Thermal State ◽  
Ensemble Average ◽  
Wigner Functions ◽  
State Representation ◽  
Density Matrices ◽  
Wigner Operator ◽  
Thermo Field Dynamics ◽  
Thermal States

We find that the Thermo Field Dynamics, invented by Takahashi and Umezawa, can simplify calculations of Wigner functions for density matrices ρ. Using the coherent thermal state representation (Phys. Lett.A246, 242 (1998)), we show that the Wigner function W = Tr (Δρ) (an ensemble average of the Wigner operator Δ) can be expressed as a matrix element of ρ in the pure coherent thermal states. Wigner functions for some complicated density matrices are derived in this way.

SOME FEATURES OF SQUEEZED NEGATIVE BINOMIAL STATE

1992 ◽  
Vol 06 (03n04) ◽  
pp. 409-415 ◽  
Author(s):  
AMITABH JOSHI ◽  
S. V. LAWANDE
Keyword(s):  
Electromagnetic Field ◽  
Density Matrix ◽  
Wigner Function ◽  
Negative Binomial ◽  
Thermal State ◽  
Photon Number ◽  
Binomial State ◽  
Relationship Of ◽  
The Relationship ◽  
Photon Number Distribution

Properties of electromagnetic field in the squeezed negative binomial state are investigated in terms of photon number distribution and Wigner function. The relationship of the density matrix of the squeezed negative binomial state to the density matrix of the squeezed thermal state is shown explicitly. The possibility of generation of the negative binomial state is also discussed.

Time Evolution of Wigner Function in Diffusion Channel

2014 ◽  
Vol 54 (4) ◽  
pp. 1225-1232 ◽  
Author(s):  
Jian Ming Du ◽  
Rui He ◽  
Gang Ren ◽  
Hai-Jun Yu
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Diffusion Channel

scholarly journals Application of Causal Inference to the Analysis of Occupant Thermal State and Energy Behavioral Intentions in Immersive Virtual Environments

2021 ◽  
Vol 3 ◽  
Author(s):  
Girish Rentala ◽  
Yimin Zhu ◽  
Supratik Mukhopadhyay
Keyword(s):  
Causal Inference ◽  
Virtual Environments ◽  
Behavioral Intentions ◽  
Thermal State ◽  
Behavioral Factors ◽  
Immersive Virtual Environments ◽  
Virtual Experience ◽  
Energy Behavior ◽  
Thermal States

Identification and quantitative understanding of factors that influence occupant energy behavior and thermal state during the design phase are critical in supporting effective energy-efficient design. To achieve this, immersive virtual environments (IVEs) have recently shown potential as a tool to simulate occupant energy behaviors and collect context-dependent behavior data for buildings under design. On the other hand, prior models of occupant energy behaviors and thermal states used correlation-based approaches, which failed to capture the underlying causal interactions between the influencing factors and hence were unable to uncover the true causing factors. Therefore, in this study, the authors investigate the applicability of causal inference for identifying the causing factors of occupant/participant energy behavioral intentions and their thermal states in IVE condition and compare those results with the baseline in-situ condition. The energy behavioral intentions here are a proximal antecedent of actual energy behaviors. A set of experiments involving 72 human subjects were performed through the use of a head-mounted device (HMD) in a climate chamber. The subjects were exposed to three different step temperatures (cool, neutral, warm) under an IVE and a baseline in-situ condition. Participants' individual factors, behavioral factors, skin temperatures, virtual experience factors, thermal states (sensation, acceptability, comfort), and energy behavioral intentions were collected during the experiments. Structural causal models were learnt from data using the elicitation method in conjunction with the PC-Stable algorithm. The findings show that the causal inference framework is a potentially effective method for identifying causing factors of thermal states and energy behavioral intentions as well as quantifying their causal effects. In addition, the study shows that in IVE experiments, the participants' virtual experience factors such as their immersion, presence, and cybersickness were not the causing factors of thermal states and energy behavioral intentions. Furthermore, the study suggests that participants' behavioral factors such as their attitudes toward energy conservation and perceived behavioral control to conserve energy were the causing factors of their energy behavioral intentions. Also, the indoor temperature was a causing factor of general thermal sensation and overall skin temperature. The paper also discusses other findings, including discrepancies, limitations of the study, and recommendations for future studies.

scholarly journals Publisher Correction: Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution

2020 ◽  
Vol 16 (2) ◽  
pp. 231-231 ◽  
Author(s):  
Mario Motta ◽  
Chong Sun ◽  
Adrian T. K. Tan ◽  
Matthew J. O’Rourke ◽  
Erika Ye ◽  
...  
Keyword(s):  
Time Evolution ◽  
Quantum Computer ◽  
Imaginary Time ◽  
Thermal States
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