Sudarshana Laha | Max-Planck-Institute for the Physics of Complex Systems (original) (raw)

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Articles by Sudarshana Laha

It mainly deals with the apparent conflict of science and religion,and how often we try to bridge... more It mainly deals with the apparent conflict of science and religion,and how often we try to bridge this gap.

Drafts by Sudarshana Laha

1. Aim Of The Project: To solve the equation of motion of a double pendulum and display the motio... more 1. Aim Of The Project: To solve the equation of motion of a double pendulum and display the motion of the system using animation which explicitly shows the behaviour of the system at different instants of time, given different initial conditions and hence study its chaotic behaviour and analyse the normal modes.

The purpose of the project is to study General Theory of Relativity and the associated black hole... more The purpose of the project is to study General Theory of Relativity and the associated black holes solutions of the Einstein Field Equations.In this context,we have studied the equivalence principle and the geometry of curved space time including general tensor analysis in curved spaces and geodesics to begin with and followed by the issue of covariant derivatives,Christoffel connections and the Riemann curvature tensor.Following this we have motivated the Einstein field equations and then studied the basic solutions of these equations based on their symmetries. We have further studied the spherically symmetric Schwarzschild solution,the charged Reissner Nordstorm solution,the rotating Kerr solution and the Kerr−Newmann solution along with their corresponding black holes .

Under this project,the basic physical principles governing the working of optical tweezers has be... more Under this project,the basic physical principles governing the working of optical tweezers has been studied.Further,a research paper on numerically solving the time-dependent Maxwells equations for random dielectric media has also been studied.

Talks by Sudarshana Laha

An introduction to black hole thermodynamics including study of RN-AdS and Schwarzschild-AdS blac... more An introduction to black hole thermodynamics including study of RN-AdS and Schwarzschild-AdS black holes and their respective phase transitions.

Papers by Sudarshana Laha

Jonathan Bauermann, 2, 6 Sudarshana Laha, 2, 6 Patrick M. McCall, 2, 3 Frank Jülicher, 2, 4, 7 an... more Jonathan Bauermann, 2, 6 Sudarshana Laha, 2, 6 Patrick M. McCall, 2, 3 Frank Jülicher, 2, 4, 7 and Christoph A. Weber 2, 5, 7 Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany Center for Systems Biology Dresden, Pfotenhauerstrasse 108, 01307 Dresden, Germany Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstrasse 108, 01307 Dresden, Germany Cluster of Excellence Physics of Life, TU Dresden, 01062 Dresden, Germany Faculty of Mathematics, Natural Sciences, and Materials Engineering: Institute of Physics, University of Augsburg, Universitätsstr. 1, 86159 Augsburg, Germany contributed equally Corresponding authors: julicher@pks.mpg.de and christoph.weber@physik.uni-augsburg.de

Chemical Science

Non-equilibrium, fuel-driven reaction cycles serve as model systems of the intricate reaction net... more Non-equilibrium, fuel-driven reaction cycles serve as model systems of the intricate reaction networks of life.

Scientific Reports

We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the te... more We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the temporal evolution of a quenched transverse field Ising chain coupled to a particle loss type of bath (local in Jordan-Wigner fermion space) using two versions of the Loschmidt overlap (LO), namely, the fidelity induced LO and the interferometric phase induced LO. The bath, on the one hand, dictates the dissipative evolution following a sudden quench and on the other, plays a role in dissipative mixed state preparation in the later part of the study. During a dissipative evolution following a sudden quench, no trace of DQPTs are revealed in both the fidelity and the interferometric phase approaches; however, remarkably the interferometric phase approach reveals the possibility of inter-steady state DQPTs in passage from one steady state to the other when the system is subjected to a quench after having reached the first steady state. We further probe the occurrences of DQPTs when the system evolves unitarily after being prepared in a mixed state of engineered purity by ramping the transverse field in a linear fashion in the presence of the bath. In this case though the fidelity approach fails to indicate any DQPT, the interferometric approach indeed unravels the possibility of occurrence of DQPTs which persists even up to a considerable loss of purity of the engineered initial state as long as a constraint relation involving the dissipative coupling and ramping time (rate) is satisfied. This constraint relation also marks the boundary between two dynamically inequivalent phases; in one the LO vanishes for the critical momentum mode (and hence DQPTs exist) while in the other no such critical mode can exist and hence the LO never vanishes.

Scientific Reports

We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the te... more We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the temporal evolution of a quenched transverse field Ising chain coupled to a particle loss type of bath (local in Jordan-Wigner fermion space) using two versions of the Loschmidt overlap (LO), namely, the fidelity induced LO and the interferometric phase induced LO. The bath, on the one hand, dictates the dissipative evolution following a sudden quench and on the other, plays a role in dissipative mixed state preparation in the later part of the study. During a dissipative evolution following a sudden quench, no trace of DQPTs are revealed in both the fidelity and the interferometric phase approaches; however, remarkably the interferometric phase approach reveals the possibility of inter-steady state DQPTs in passage from one steady state to the other when the system is subjected to a quench after having reached the first steady state. We further probe the occurrences of DQPTs when the system evolves unitarily after being prepared in a mixed state of engineered purity by ramping the transverse field in a linear fashion in the presence of the bath. In this case though the fidelity approach fails to indicate any DQPT, the interferometric approach indeed unravels the possibility of occurrence of DQPTs which persists even up to a considerable loss of purity of the engineered initial state as long as a constraint relation involving the dissipative coupling and ramping time (rate) is satisfied. This constraint relation also marks the boundary between two dynamically inequivalent phases; in one the LO vanishes for the critical momentum mode (and hence DQPTs exist) while in the other no such critical mode can exist and hence the LO never vanishes.

It mainly deals with the apparent conflict of science and religion,and how often we try to bridge... more It mainly deals with the apparent conflict of science and religion,and how often we try to bridge this gap.

1. Aim Of The Project: To solve the equation of motion of a double pendulum and display the motio... more 1. Aim Of The Project: To solve the equation of motion of a double pendulum and display the motion of the system using animation which explicitly shows the behaviour of the system at different instants of time, given different initial conditions and hence study its chaotic behaviour and analyse the normal modes.

The purpose of the project is to study General Theory of Relativity and the associated black hole... more The purpose of the project is to study General Theory of Relativity and the associated black holes solutions of the Einstein Field Equations.In this context,we have studied the equivalence principle and the geometry of curved space time including general tensor analysis in curved spaces and geodesics to begin with and followed by the issue of covariant derivatives,Christoffel connections and the Riemann curvature tensor.Following this we have motivated the Einstein field equations and then studied the basic solutions of these equations based on their symmetries. We have further studied the spherically symmetric Schwarzschild solution,the charged Reissner Nordstorm solution,the rotating Kerr solution and the Kerr−Newmann solution along with their corresponding black holes .

Under this project,the basic physical principles governing the working of optical tweezers has be... more Under this project,the basic physical principles governing the working of optical tweezers has been studied.Further,a research paper on numerically solving the time-dependent Maxwells equations for random dielectric media has also been studied.

An introduction to black hole thermodynamics including study of RN-AdS and Schwarzschild-AdS blac... more An introduction to black hole thermodynamics including study of RN-AdS and Schwarzschild-AdS black holes and their respective phase transitions.

Jonathan Bauermann, 2, 6 Sudarshana Laha, 2, 6 Patrick M. McCall, 2, 3 Frank Jülicher, 2, 4, 7 an... more Jonathan Bauermann, 2, 6 Sudarshana Laha, 2, 6 Patrick M. McCall, 2, 3 Frank Jülicher, 2, 4, 7 and Christoph A. Weber 2, 5, 7 Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany Center for Systems Biology Dresden, Pfotenhauerstrasse 108, 01307 Dresden, Germany Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstrasse 108, 01307 Dresden, Germany Cluster of Excellence Physics of Life, TU Dresden, 01062 Dresden, Germany Faculty of Mathematics, Natural Sciences, and Materials Engineering: Institute of Physics, University of Augsburg, Universitätsstr. 1, 86159 Augsburg, Germany contributed equally Corresponding authors: julicher@pks.mpg.de and christoph.weber@physik.uni-augsburg.de

Chemical Science

Non-equilibrium, fuel-driven reaction cycles serve as model systems of the intricate reaction net... more Non-equilibrium, fuel-driven reaction cycles serve as model systems of the intricate reaction networks of life.

Scientific Reports

We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the te... more We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the temporal evolution of a quenched transverse field Ising chain coupled to a particle loss type of bath (local in Jordan-Wigner fermion space) using two versions of the Loschmidt overlap (LO), namely, the fidelity induced LO and the interferometric phase induced LO. The bath, on the one hand, dictates the dissipative evolution following a sudden quench and on the other, plays a role in dissipative mixed state preparation in the later part of the study. During a dissipative evolution following a sudden quench, no trace of DQPTs are revealed in both the fidelity and the interferometric phase approaches; however, remarkably the interferometric phase approach reveals the possibility of inter-steady state DQPTs in passage from one steady state to the other when the system is subjected to a quench after having reached the first steady state. We further probe the occurrences of DQPTs when the system evolves unitarily after being prepared in a mixed state of engineered purity by ramping the transverse field in a linear fashion in the presence of the bath. In this case though the fidelity approach fails to indicate any DQPT, the interferometric approach indeed unravels the possibility of occurrence of DQPTs which persists even up to a considerable loss of purity of the engineered initial state as long as a constraint relation involving the dissipative coupling and ramping time (rate) is satisfied. This constraint relation also marks the boundary between two dynamically inequivalent phases; in one the LO vanishes for the critical momentum mode (and hence DQPTs exist) while in the other no such critical mode can exist and hence the LO never vanishes.

Scientific Reports

We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the te... more We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the temporal evolution of a quenched transverse field Ising chain coupled to a particle loss type of bath (local in Jordan-Wigner fermion space) using two versions of the Loschmidt overlap (LO), namely, the fidelity induced LO and the interferometric phase induced LO. The bath, on the one hand, dictates the dissipative evolution following a sudden quench and on the other, plays a role in dissipative mixed state preparation in the later part of the study. During a dissipative evolution following a sudden quench, no trace of DQPTs are revealed in both the fidelity and the interferometric phase approaches; however, remarkably the interferometric phase approach reveals the possibility of inter-steady state DQPTs in passage from one steady state to the other when the system is subjected to a quench after having reached the first steady state. We further probe the occurrences of DQPTs when the system evolves unitarily after being prepared in a mixed state of engineered purity by ramping the transverse field in a linear fashion in the presence of the bath. In this case though the fidelity approach fails to indicate any DQPT, the interferometric approach indeed unravels the possibility of occurrence of DQPTs which persists even up to a considerable loss of purity of the engineered initial state as long as a constraint relation involving the dissipative coupling and ramping time (rate) is satisfied. This constraint relation also marks the boundary between two dynamically inequivalent phases; in one the LO vanishes for the critical momentum mode (and hence DQPTs exist) while in the other no such critical mode can exist and hence the LO never vanishes.