The Price Impact of Order Book Events

We study the price impact of order book events - limit orders, market orders and cancelations - using the NYSE TAQ data for 50 U.S. stocks. We show that, over short time intervals, price changes are mainly driven by the order flow imbalance, defined as the imbalance between supply and demand at the best bid and ask prices. Our study reveals a linear relation between order flow imbalance and price changes, with a slope inversely proportional to the market depth. These results are shown to be robust to seasonality effects, and stable across time scales and across stocks. We argue that this linear price impact model, together with a scaling argument, implies the empirically observed "square-root" relation between price changes and trading volume. However, the relation between price changes and trade volume is found to be noisy and less robust than the one based on order flow imbalance

Quantum gravity effects in the CGHS model of collapse to a black hole

We show that only a sector of the classical solution space of the CGHS model describes formation of black holes through collapse of matter. This sector has either right or left moving matter. We describe the sector which has left moving matter in canonical language. In the nonperturbative quantum theory all operators are expressed in terms of the matter field operator which is represented on a Fock space. We discuss existence of large quantum fluctuations of the metric operator when the matter field is approximately classical. We end with some comments which may pertain to Hawking radiation in the context of the model.Comment: Latex, 26 pages, 1 figure, to appear in Phy. Rev. D (15

Fock representations from U(1) holonomy algebras

We revisit the quantization of U(1) holonomy algebras using the abelian C* algebra based techniques which form the mathematical underpinnings of current efforts to construct loop quantum gravity. In particular, we clarify the role of ``smeared loops'' and of Poincare invariance in the construction of Fock representations of these algebras. This enables us to critically re-examine early pioneering efforts to construct Fock space representations of linearised gravity and free Maxwell theory from holonomy algebras through an application of the (then current) techniques of loop quantum gravity.Comment: Latex file, 30 pages, to appear in Phys Rev

The non-vanishing effect of detuning errors in dynamical decoupling based quantum sensing experiments

Characteristic dips appear in the coherence traces of a probe qubit when dynamical decoupling (DD) is applied in synchrony with the precession of target nuclear spins, forming the basis for nanoscale nuclear magnetic resonance (NMR). The frequency of the microwave control pulses is chosen to match the qubit transition but this can be detuned from resonance by experimental errors, hyperfine coupling intrinsic to the qubit, or inhomogeneous broadening. The detuning acts as an additional static field which is generally assumed to be completely removed in Hahn echo and DD experiments. Here we demonstrate that this is not the case in the presence of finite pulse-durations, where a detuning can drastically alter the coherence response of the probe qubit, with important implications for sensing applications. Using the electronic spin associated with a nitrogen-vacancy centre in diamond as a test qubit system, we analytically and experimentally study the qubit coherence response under CPMG and XY8 dynamical decoupling control schemes in the presence of finite pulse-durations and static detunings. Most striking is the splitting of the NMR resonance under CPMG, whereas under XY8 the amplitude of the NMR signal is modulated. Our work shows that the detuning error must not be neglected when extracting data from quantum sensor coherence traces

STM conductance of Kondo impurities on open and structured surfaces

We study the scanning tunneling microscopy response for magnetic atoms on open and structured surfaces using Wilson's renormalization group. We observe Fano resonances associated with Kondo resonances and interference effects. For a magnetic atom in a quantum corral coupled to the confined surface states, and experimentally relevant parameters, we observe a large confinement induced effect not present in the experiments. These results suggest that the Kondo screening is dominated by the bulk electrons rather than the surface ones.Comment: 6 pages, 6 figure

Unique gap structure and symmetry of the charge density wave in single-layer VSe2_2

Single layers of transition metal dichalcogenides (TMDCs) are excellent candidates for electronic applications beyond the graphene platform; many of them exhibit novel properties including charge density waves (CDWs) and magnetic ordering. CDWs in these single layers are generally a planar projection of the corresponding bulk CDWs because of the quasi-two-dimensional nature of TMDCs; a different CDW symmetry is unexpected. We report herein the successful creation of pristine single-layer VSe$_2$, which shows a ($\sqrt7 \times \sqrt3$) CDW in contrast to the (4 $\times$ 4) CDW for the layers in bulk VSe$_2$. Angle-resolved photoemission spectroscopy (ARPES) from the single layer shows a sizable ($\sqrt7 \times \sqrt3$) CDW gap of $\sim$100 meV at the zone boundary, a 220 K CDW transition temperature twice the bulk value, and no ferromagnetic exchange splitting as predicted by theory. This robust CDW with an exotic broken symmetry as the ground state is explained via a first-principles analysis. The results illustrate a unique CDW phenomenon in the two-dimensional limit

ANGIOTENSIN CONVERTING ENZYME INHIBITION POTENTIAL OF ANNAPAVALA CHENDHURAM FOR THE TREATMENT OF HYPERTENSION - AN IN–VITRO ASSAY

Hypertension is that the most noteworthy risk factor for cardiovascular diseases and stroke. Dietary and lifestyle changes play the foremost part to decrease the hazard of hypertension and other related wellbeing complications. Angiotensin Converting Enzyme (ACE) inhibitors play a major role in treating hypertension. Annapavala chendhuram is a herbo – mineral Siddha formulation comes under the type of 32 internal medicines of Siddha. Hypolipidemic activity of Annapavala chendhuram has been proven by some research studies. Hence, the purpose of the present study was to evaluate the ACE inhibition activity on Annapavala chendhuram by using an in-vitro assay. The ACE inhibition assay was evaluated by UV Spectrophotometry technique based on the hydrolysis of histidyl-hippuryl-leucine (HHL) by ACE. About 50µL test sample with varying concentration (100- 500 µg/ml) along with standard captopril (100µg/ml) added with 50µL of ACE and some process had continued. The present study indicates that the test drug Annapavala chendhuram was effective in inhibiting the enzyme ACE dose-dependently. Maximum percentage inhibition of about 53.24±8.403% was observed at 500μg/ml when compared to that of the Captopril, a standard ACE enzyme inhibitor agent with the maximum inhibition 86.98 ± 6.375 at the concentration of 100μg/ml. It was concluded that the test drug Annapavala chendhuram possess significant anti-hypertensive property in protein denaturation assay. So, further in-vitro evaluation of ACE inhibitory activity on Siddha herbal preparations and clinical trials will be the need of the hour