Effect of magnetic field on the long-time dynamics of two charged coupled harmonic oscillators in the presence of a common heat bath

In this paper, the moderately long-time behaviours of the position autocorrelation, position velocity correlation and velocity autocorrelation functions for two charged coupled harmonic oscillators connected to a heat bath are derived in the presence of a magnetic field via the Quantum Langevin equation. It is seen that at long times the correlation functions at T->0 exhibit a power law decay with the coefficients of the power laws being completely different for the two masses that affect the overall trends of the decays of the correlation functions. The effect of the bath-induced force on mass m1 mediated by the interaction of m2 with the common heat bath is studied and the results are highlighted in the presence of an external magnetic field. This brings out the distinctness of the coupled oscillator scenario from the independent single oscillator model studied earlier in the literature. The results in the absence of a magnetic field are also presented, which are extremely important for analyzing the dynamics of atoms in protein molecules at low temperatures.Comment: 12 pages; 7 figure

Interplay of Pairing Correlation and Coulomb Correlation in Boson Exchange Superconductors

A theoretical methodology for exploring the conventional Bardeen-Cooper-Schrieffer (BCS) pairing instability for superconductivity from a correlated normal phase for all possible degrees of many-body correlation, has been developed. The Gutzwiller projection scheme with a correlation parameter was made use of in generating the BCS pairing state. A variational scheme was thereafter implemented, leading to a self-consistent equation for superconducting gap function. This equation shows explicit dependence of the gap function on the many body correlation parameter. This `pairing-gap' and the corresponding self-consistent gap equation in zero correlation limit, becomes identical in nature with those of the pure (1-well) BCS formalism, as expected and the Coulomb correlation affects the pairing significantly with the strength of correlation. The detailed consequences are being presented here.Comment: 17 pages, 5 figure

Atomic Inversion and Entanglement Dynamics for Squeezed Coherent Thermal States in the Jaynes-Cummings Model

The tussling interplay between the thermal photons and the squeezed photons is discussed. The `classical noise' is represented by the thermal photons and the `quantum noise' is represented by the squeezed photons, which are pitted against each other in the background of a coherent field (represented by the coherent photons). The photon counting distribution (PCD) corresponding to the squeezed coherent thermal states are employed for this purpose. It is observed that the addition of thermal photons and squeezed photons have counterbalancing effects, by delocalizing and localizing the PCD, respectively. Various aspects of the atom-field interaction, like the atomic inversion, entanglement dynamics in the Jaynes-Cummings model have been investigated. Particular attention is given to the study of atomic inversion and entanglement dynamics due to the addition of thermal and squeezed photons to the coherent state. The interplay of thermal photons and squeezed photons have drastic effects on the PCD, atomic inversion and entanglement dynamics of the atom-field interaction.Comment: This research article contains 10 pages and 15 figure

Decoherence and the ultraviolet cutoff: non-Markovian dynamics of a charged particle in a magnetic field

We derive a non-Markovian master equation for a charged particle in a magnetic field coupled to a bath and study decoherence by analysing the temporal decay of the off-diagonal elements of the reduced density matrix in the position basis. The coherent oscillations characterised by the cyclotron frequency get suppressed as a result of decoherence due to coupling with the environment. We consider an Ohmic bath with three distinct models for the high-frequency cutoff for the spectral density of the bath and compare the three cases. As expected, the three cutoff models converge in the limit of the uppermost frequency of the bath tending to infinity. We notice a dramatic slowing down of loss of coherence in the low-temperature limit dominated by zero point quantum fluctuations compared to the high-temperature classical limit dominated by thermal fluctuations. We also go beyond the Ohmic model and study super-Ohmic and sub-Ohmic baths with the spectral densities deviating from a linear dependence on the frequency. Our results are testable in a state of the art cold atom laboratory.Comment: 21 pages, 4 figure

ANALYSIS OF FATTY ACIDS FROM OIL OF GREEN TEA (CAMELLIA SINENSIS L) BY GAS CHROMATOGRAPHY COUPLED WITH FLAME IONIZATION DETECTOR AND ITS ANTICANCER AND ANTIBACTERIAL ACTIVITY IN VITRO

Objective: Tea is a widely consumed beverage worldwide. The effect of green tea is mainly due to its high polyphenols-(-) epigallocatechin-3-gallate (EGCG) content in the culture of cancer cell and bacterial cells. The present work was carried out to investigate the efficacy of green tea oil (GTO) against cancer cells and bacterial cells. Methods: In this study green tea oil was prepared from green tea for different experiment and determination of fatty acids profile from green tea oil. In the present study, peripheral blood lymphocyte (PBL) was chosen as human peripheral blood lymphocytes and blood cancer MCF-7 cells were chosen as human cancer cells. To fulfill our aims and also to evaluate the activity of this phytomedicine against normal lymphocytes and cancer cells the cell samples were divided into 26 experimental groups in the following ways. Each Petri dish contains 2 X 105 cells. Results: GTO shows a potent anticancer agent but nontoxic to normal cells. The GTO decreases the reduced glutathione (GSH) level and increase the oxidized glutathione (GSSG) level significantly (P<0.05) in MCF-7 cells. But in lymphocytes the GSH level and GSSG level were almost the same with the control group but doxorubicin (DOX) significantly decreased the GSH and increase the GSSG level. Green tea oil treatment causes generation of reactive oxygen species (ROS) in MCF-7 cells revealed by DCFH2DA staining. Agar diffusion test shows the GTO is effective against multi-drug resistant bacteria. Conclusion: This phytomedicine has a potent anticancer activity without damaging the normal lymphocytes. So, this drug can be used for further treatment of anticancer and antibacterial

NEPHRO-PROTECTIVE ACTIVITY OF ISOLATED METHANOL FRACTIONS PHYTO-COMPOUND FROM BARK OF TERMINALIA ARJUNA

Objective: The aim of this study was to evaluate the antioxidant property of the isolated phytocompounds from TA (Terminalia arjuna) bark and in vivo study for nephro-protective and oxidative stress reducing activity in experimentally induced albino male rats.Methods: Fractions from methanol crude TA extract were collected by column chromatography and F27, F28, F29 fractions were selected on the basis of antioxidant property by 2,2-diphenyl-1-picrylhydrazyl (DPPH) scavenging assay. The in vivo study performed by 30 albino male rats which were randomly divided into five groups: Group I (control)were taken normal food and water, Groups II (uremic) were injected acetaminophen intraperitoneally at the dose of 500 mg/kg/d for 10 d, Group III, IV and V(extract treatment) acetaminophen intraperitoneally at the dose of 500 mg/kg/d for 10 d with co-administered orally of methanol fraction F27, F28, F29 at the dose of 100 mg/kg/d for 15 d respectively.Results: After scarification of rats, the uremic marker plasma urea (80%), creatinine (85%) were elevated and antioxidant enzyme marker such as plasma SOD and catalase level were significantly increased (p<0.05)in Group IV compared to Group II. The total phenolic content of the F28 methanolic fraction was (815.48±8.11) mg gallic acid equivalent/g of extract. For isolation of available compound by 1H NMR study in F28 methanol fraction of TA bark was arjunoside IV which contained olefinic proton (a pair of carbon atom linked with double bond).Conclusion: Among the three methanolic fraction of TA bark, F28 was shown best antioxidative, nephron-protective and oxidative stress reducing property.Â

Nephroprotective efficacy of Asparagus racemosus root extract on acetaminophen-induced renal injury in rats

Acetaminophen-induced renal necrosis and insufficiency occurs in patients with acetaminophen overdose. Renal failure is rapidly assuming epidemic proportions globally. In absence of reliable and effective nephroprotective drugs, strategies towards exploring alternative therapies for treatment of kidney diseases are essential. Asparagus racemosus is a medicinal plant used for treatment of various ailments. This research was undertaken to investigate the protective effect of ethanol fraction of A. racemosus roots extract in acetaminophen-induced uraemia and renal failure in rats. Rats were co-administered with acetaminophen injection and oral administration of A. racemosus roots extract in an attempt of protection against renal failure. Uremic biomarkers significantly decreased, and elevated levels of antioxidant enzymes were found, in the animals treated with ethanol fraction of A. racemosus when compared with acetaminophen treated uremic animals. Also, histology of kidneys showed control like structure in animals treated with this extract but severe damage in the uremic animals. HPLC analysis of the ethanol fraction of A. racemosus roots extract revealed eight compounds out of which one had a retention time near to the quercetin standard. It may be concluded that this extract of A. racemosus has therapeutically useful nephroprotective potential

Enhancing livelihoods in farming communities through super-resolution agromet advisories using advanced digital agriculture technologies

Agricultural production in India is highly vulnerable to climate change. Transformational change to farming systems is required to cope with this changing climate to maintain food security, and ensure farming to remain economically viable. The south Asian rice-fallow systems occupying 22.3 million ha with about 88% in India, mostly (82%) concentrated in the eastern states, are under threat. These systems currently provide economic and food security for about 11 million people, but only achieve 50% of their yield potential. Improvement in productivity is possible through efficient utilization of these fallow lands. The relatively low production occurs because of sub-optimal water and nutrient management strategies. Historically, the Agro-met advisory service has assisted farmers and disseminated information at a district-level for all the states. In some instances, Agro-met delivers advice at the block level also, but in general, farmers use to follow the district level advice and develop an appropriate management plan like land preparation, sowing, irrigation timing, harvesting etc. The advisories are generated through the District Agrometeorology Unit (DAMU) and Krishi Vigyan Kendra (KVK) network, that consider medium-range weather forecast. Unfortunately, these forecasts advisories are general and broad in nature for a given district and do not scale down to the individual field or farm. Farmers must make complex crop management decisions with limited or generalised information. The lack of fine scale information creates uncertainty for farmers, who then develop risk-averse management strategies that reduce productivity. It is unrealistic to expect the Agro-met advisory service to deliver bespoke information to every farmer and to every field simply with the help of Kilometre-scale weather forecast. New technologies must be embraced to address the emerging crises in food security and economic prosperity. Despite these problems, Agro-met has been successful. New digital technologies have emerged though, and these digital technologies should become part of the Agro-met arsenal to deliver valuable information directly to the farmers at the field scale. The Agro-met service is poised to embrace and deliver new interventions through technology cross-sections such as satellite remote sensing, drone-based survey, mobile based data collection systems, IoT based sensors, using insights derived from a hybridisation of crop and AIML (Artificial Intelligence and Machine Learning) models. These technological advancements will generate fine-scale static and dynamic Agro-met information on cultivated lands, that can be delivered through Application Programming Interface (APIs) and farmers facing applications. We believe investment in this technology, that delivers information directly to the farmers, can reverse the yield gap, and address the negative impacts of a changing climate