arXiv subjects

Mahya Mohammadi

Publications and source records attributed to Mahya Mohammadi.

9 recordsLinked to original sources

arXiv2026

Quantum Spectroscopy with Undetected Photons for Biomolecular Sensing in the Mid-Infrared

We investigate quantum spectroscopy with undetected photons for protein detection in the mid-infrared spectral region. Classical Fourier-transform infrared spectroscopy of protein samples (bovine serum albumin and N-terminal pro-brain natriuretic peptide) is used as reference to define the sample's mid-infrared absorption, which is then embedded in a numerical model of a double-pass quantum interferometer. We analyse parameters that influence visibility of the interference pattern formed by the signal beams, including the length of nonlinear crystal, sample length and mirror-sample distance. This leads us to a practical quantum spectrometer design with optimal image contrast at the specific amide I-II spectral bands. The simulated visibility spectra reproduce nearly identically the protein absorption features in the mid-IR and reveal temperature-induced changes to the protein secondary structure. Overall, this provides practical design rules for future quantum bio-spectroscopy applications that use only visible wavelength sources and detectors.

quant-ph↗

arXiv2023

Towards high temperature holographic superconductors

We explore a holographic superconductor model in which a real scalar field is non-minimally coupled to a gauge field. We consider several types of the non-minimal coupling function h($ψ$) including exponential, hyperbolic (cosh), power-law and fractional forms. We investigate the influences of the non-minimal coupling parameter $α$ on condensation, critical temperature and conductivity. We can categorize our results in two groups. In the first group, conductor/superconductor phase transition is easier to occur for larger values of $α$, while in the second group stronger effects of the non-minimal coupling makes the formation of scalar hair harder. Although the real and imaginary parts of conductivity are impressed by different forms of h($ψ$), they follow some universal behaviors such as connecting with each other through Kramers-Kronig relation in low frequency regime or the appearance of gap frequency at low temperatures. We find the best form of forms of non-minimal coupling function that gives us better information in wide range of non-minimal coupling constant and temperature. Choosing the best form of h($ψ$), we construct a family of solutions for holographic conductor/superconductor phase transitions to discover the effect of the hyperscaling violation when the gauge and scalar fields are non-minimally coupled. we find that the critical temperature increases for higher effects of hyperscaling violation $θ$ and non-minimal coupling constant $α$. By increasing these two parameters, we obtain lower values of condensation which means that conductor/superconductor phase transition will acquire easier. Furthermore, we understand that the hyperscaling violation affects the conductivity $σ$ of the holographic superconductors and changes the expected relation in the gap frequency. Some universal behaviors like infinite DC conductivity are observed.

hep-th↗

arXiv2022

Non-minimal coupling Gauss-Bonnet holographic superconductors

By employing the gauge/gravity duality, we disclose the effects of the non-minimal coupling between the scalar and Maxwell fields on the holographic superconductors in the probe limit. As the background spacetime, we consider a five dimensional Gauss-Bonnet (GB) black hole with a flat horizon. We find out that the critical temperature decreases for larger values of GB coupling constant or smaller values of non-minimal coupling constant, which means that the condensation is harder to form. In addition, we study the electrical conductivity in the holographic setup. We show that at low frequency regime, Kramers-Kronig relation connects both parts of conductivity to each other, while at high frequency, two parts go up with constant slope.

hep-th↗

arXiv2022

Gauss-Bonnet holographic superconductors in lower-dimensions

We disclose the effect of Gauss-Bonnet gravity on the properties of holographic $s$-wave and $p$-wave superconductors with higher order corrections in lower-dimensional spacetime. We employ shooting method to solve equations of motion numerically and obtain the effect of different values of mass, nonlinear gauge field and Gauss-Bonnet parameters on critical temperature and condensation. Based on our results, increasing each of these three parameters leads to lower temperatures and larger values of condensation. This phenomenon is rooted in the fact that conductor/superconductor phase transition faces with difficulty for higher effect of nonlinear and Gauss-Bonnet terms in the presence of a massive field. In addition, we study the electrical conductivity in holographic setup. In $D=4$, real and imaginary parts of conductivity in holographic $s$- and $p$-wave models behave similarly and follow the same trend as higher dimensions by showing the delta function and pole at low frequency regime that Kramers-Kronig relation can connect these two parts of conductivity to each other. We observe the appearance of a gap energy at $ω_{g}\approx 8T_{c}$ at which shifts toward higher frequencies by diminishing temperature and increasing the effect of nonlinear and Gauss-Bonnet terms. Conductivity in $D = 3$ is far different from other dimensions. Even the real and imaginary parts in $s$- and $p$-wave modes pursue various trends. For example in $ω\rightarrow 0$ limit, imaginary part in holographic $s$-wave model tends to infinity but in $p$-wave model approaches to zero. However, the real parts in both models show a delta function behavior. In general, real and imaginary parts of conductivity in all cases that we study tend to a constant value in $ω\rightarrow \infty$ regime.

hep-th↗

arXiv2020

Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics

We employ gauge/gravity duality to study the effects of Lifshitz scaling on the holographic $p$ wave superconductors in the presence of Born-Infeld (BI) nonlinear electrodynamics. By using the shooting method in the probe limit, we calculate the relation between critical temperature $T_{c}$ and $ρ^{z/d}$ numerically for different values of mass, nonlinear parameter $b$ and Lifshitz critical exponent $z$ in various dimensions. We observe that critical temperature decreases by increasing $b$, $z$ or the mass parameter $m$ which makes conductor/superconductor phase transition harder to form. In addition, we analyze the electrical conductivity and find the behavior of real and imaginary parts as a function of frequency which depend on the model parameters. However, some universal behaviors are seen. For instance at low frequencies, real part of conductivity shows a delta function behavior while the imaginary part has a pole which means that these two parts are connected to each other through Kramers-Kronig relation. The behavior of real part of conductivity in the large frequency regime can be achieved by $Re[σ]=ω^{D-4}$. Furthermore, with increasing the Lifshitz scaling $z$, the energy gap and the minimum values of the real and imaginary parts become unclear.

hep-th↗

arXiv2019

Conductivity of the one-dimensional holographic p-wave superconductors in the presence of nonlinear electrodynamics

We investigate analytically as well as numerically effects of nonlinear Born-Infeld (BI) electrodynamics on the properties of (1+1)-dimensional holographic $p$-wave superconductor in the context of gauge/gravity duality. We consider the case in which the gauge and vector fields backreact on the background geometry. We apply the Sturm-Liouville eigenvalue problem for the analytical approach as well as the shooting method for the numerical calculations. In both methods, we find out the relation between critical temperature $T_{c}$ and chemical potential $μ$ and show that both approaches are in good agreement with each other. We find that if one strengthen the effect of backreaction as well as nonlinearity, the critical temperature decreases which means that the condensation is harder to form. We also explore the conductivity of the one-dimensional holographic $p$-wave superconductor for different values of b and $T/T_{c}$. We find out that the real and imaginary parts of the conductivity have different behaviors in higher dimensions. The effects of different values of temperature is more apparent for larger values of nonlinearity parameter. In addition, for the fixed value of $T/T_{c}$ by increasing the effect of nonlinearity we observe larger values for Drude-like peak in real part of conductivity and deeper minimum for imaginary part.

hep-th↗

arXiv2019

Conductivity of the holographic p-wave superconductors with higher order corrections

We investigate the holographic $p$-wave superconductors in the presence of the higher order corrections on the gravity as well as on the gauge field side. On the gravity side, we add the Gauss-Bonnet curvature correction terms, while on the gauge field side we take the nonlinear Lagrangian in the form $F + b F^2$, where F is the Maxwell Lagrangian and b indicates the strength of nonlinearity. We employ the shooting method for the numerical calculations in order to obtain the ratio of the critical temperature $T_c$ over $ρ^ {1/(d-2)}$. We observe that by increasing the values of the mass and the nonlinear parameters the critical temperature decreases and thus the condensation becomes harder to form. In addition, the stronger Gauss-Bonnet parameter $α$ hinders the superconducting phase in Gauss-Bonnet gravity. Furthermore, we calculate the electrical conductivity based on the holographic setup. The real and imaginary parts are related to each other by Kramers-Kronig relation which indicates a delta function and pole in low frequency regime, respectively. However, at enough large frequencies the trend of real part can be interpreted by $Re[σ] = ω^{(d-4)}$. Moreover, in holographic model the ratio $ω_g/T_c$ is always much larger than the BCS value $3.5$ due to the strong coupling of holographic superconductors. In both gravity kinds, decreasing the temperature or increasing the effect of nonlinearity shifts the gap frequency toward larger values. Besides, the gap frequency is occurred at larger values by enlarging the Gauss-Bonnet parameter. In general, the behavior of conductivity depends on the choice of the mass, the nonlinear and the Gauss-Bonnet parameters.

hep-th↗

arXiv2019

One-dimensional backreacting holographic p-wave superconductors

We analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. We apply the AdS3/CFT2 correspondence and determine the relation between the critical temperature Tc and the chemical potential μfor different values of mass m of charged spin-1 field and backreacting parameters. We observe that the data of both analytical and numerical studies are in good agreement. We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/ μ. Therefore, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent βis 1/2 which is the same as in the mean field theory. Moreover, both methods confirm the exhibition of a second order phase transition.

hep-th↗

arXiv2018

Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics

We analytically as well as numerically study the effects of Born-Infeld nonlinear electrodynamics on the properties of $(1+1)$-dimensional s-wave holographic superconductors. We relax the probe limit and further assume the scalar and gauge fields affect on the background spacetime. We thus explore the effects of backreaction on the condensation of the scalar hair. For the analytical method, we employ the Sturm-Liouville eigen value problem and for the numerical method, we employ the shooting method. We show that these methods are powerful enough to analyze the critical temperature and phase transition of the one dimensional holographic superconductor. We find out that increasing the backreaction as well as nonlinearity makes the condensation harder to form. In addition, this one-dimensional holographic superconductor faces with second order phase transition and their critical exponent has the mean field value $β={1}/{2}$.

hep-th↗