Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

Accelerated adiabatic dynamics of two level system of Dirac particle

Iwan Setiawan, Riska Ekawita, Ryan Sugihakim, Bobby Eka Gunara

Published Jan 1, 2025• 0 citations
Publisher

Abstract

Abstract We study a scheme to accelerate adiabatic quantum dynamics of Dirac particle. This scheme using the strategy of combining two opposite ideas: infinitely-large time-magnification factor (𝛼̅) and infinitely-small growth rate (𝜖) of adiabatic parameter. The accelerated adiabatic state is obtained by obtaining the regularization term and driving potential. We introduce the proposed method to the system of two level systems of Dirac particle by using a (1 + 1) dimension time dependent Dirac equation and obtained the regularization term. By tuning the driving magnetic field, this method to be able to accelerate adiabatic dynamics of electron as a Dirac particle in the ground state that considered as a two level system. This acceleration will preserve the ground state of the wave function from initial to the final time.

DOI
10.1088/1742-6596/2945/1/012007

Related papers

Fast forwad Adiabatic Quantum Dynamics On Two Dimensional Dirac Equation

Iwan Setiawan, Ryan Sugihakim, Bobby Eka Gunara

Abstract We study a scheme of accelerated adiabatic quantum dynamics. This scheme was originally proposed by Masuda-Nakamura. The strategy of combining two opposite idea: infinitely-large timemagnification factor and infinitely-small growth rate of adiabatic parameter was elucidated. We apply the proposed method to two dimensional system with electric field and magnetic field using two dimensional Dirac equation. We settle the quasi-adiabatic dynamics (QAD) by adding the regularization terms to the original vector potential and scalar potential and accelerate it with use of a large time-scaling factor which realizes QAD on shortened time scale. These terms multiplied by the velocity function give the counterdiabatic terms that generate the fast forward potential. The fast forward potential can accelerate the dynamics of the system from iniitial state to the final state with the same condition.

Journal of Physics Conference Series•Mar 1, 2021•1 citation

Driving energy to accelerate the adiabatic electron dynamics in quantum Hall system

Iwan Setiawan, Ahmad Syarkowi, A Syatyatuhu +1 more

Abstract We study a scheme of accelerated adiabatic quantum dynamics. This scheme was originally proposed by Masuda-Nakamura. The strategy of combining two opposite idea: infinitely-large time-magnification factor (ᾱ) and infinitely-small growth rate (ɛ) of adiabatic parameter was elucidated. We apply the proposed method to the Hall system with electric and magnetic field and obtain regularization term, driving potential VFF and driving Hamiltonian HFF to accelerate the system. The driving potential VFF and the driving Hamiltonian HFF to be able to accelerate adiabatic electron dynamics in the ground state trapped in the plane xy and electric field in the x direction and a constant magnetic field in y direction.

Journal of Physics Conference Series•Jan 1, 2021•4 citations

Fast forward of adiabatic quantum dynamics: an application to planar Dirac systems

Iwan Setiawan, Riska Ekawita, Ryan Sugihakim +1 more

We study a scheme of fast-forward adiabatic quantum dynamics of a (2 + 1) Dirac particle. This scheme was originally proposed by Masuda and Nakamura. In this scheme, we include the adiabatic parameter that maintains the adiabatic motion of the particle and fast forward its motion by introducing a time scaling parameter. The fast forward adiabatic state is obtained by determining the regularization term and driving potential. We introduce the proposed method to the system with the Dirac particle using a (2 + 1) dimensiontime- dependent Dirac equation and obtain the regularization term, the driving scalar potential VFF and the driving vector potential AFF . By tuning the driving electric field, this method can accelerate the adiabatic dynamics of an electron as a Dirac particle trapped in the ground state in the plane xy and an electric field in the x direction and a constant magnetic field in the y direction. This acceleration will preserve the ground state of the wave function from the initial time to the final time.

Nanosystems Physics Chemistry Mathematics•Jun 29, 2025•0 citations

Fast-Forward of Local-Phased-Regularized Spinor in Massless 2+1-Dimensions Adiabatic Dirac Dynamics

Ryan Sugihakim, Iwan Setiawan, Bobby Eka Gunara

Abstract We discuss a method of controlling Dirac dynamics in (2+1)-dimensions using adiabatic fast-forward method proposed by Masuda-Nakamura. Due to infinitely large amount of time of adiabaticity, we have to use an infinitely large scaling factor to shorten the time interval. Thus, we need a regularization to remove this infinity. Our strategy is analogue to adiabatic fast-forward of Schrodinger equation. That is using an auxiliary Hamiltonian but now we use two phase factors applied to the components of spinor. We applied to a case where a system is controlled by uniform magnetic field.

Journal of Physics Conference Series•Jun 1, 2021•6 citations

Accelerated dynamics in adiabatically-tunable asymmetric double-well potential

Iwan Setiawan, Bobby Eka Gunara, Jusak Sali Kosasih +1 more

We study a scheme for the acceleration of adiabatic quantum dynamics.Masuda-Nakamura's theory of acceleration uses a strategy of combining two opposite ideas: infinitely-large time-magnification factor ( ᾱ) and infinitely-small growth rate ( ) for the adiabatic parameter.We apply the proposed method to a system with a parameter-dependent asymmetric double-well potential which has no scale invariance, and obtain the elctromagnetic field required to accelerate the system.The ground state wave function, initially localized in one well, quickly moves to another well.We investigate two kinds of ground-state wave functions: with and without space-dependent phase η.For the system with non-zero η, we show the fast-forward of the adiabatic change for current density distribution more clearly characterizes the well-to-well transport and is deformed as the finite renormalized time-multiplication factor (v = ᾱ) is varied.

Nanosystems Physics Chemistry Mathematics•Feb 20, 2017•1 citation

Fast-forward adiabatic quantum dynamics of XY spin model on three spin system

Iwan Setiawan, Riska Ekawita, Ryan Sugihakim +1 more

Abstract We discussed a method to accelerate an adiabatic quantum dynamics of XY spin model by using the fast-forward method proposed by Masuda and Nakamura. The Accelerated scheme is constructed by adding the driving Hamiltonian to the original Hamiltonian and speeding it up with a large time-scaling factor and an adiabatic parameter that realizes adiabatic quantum dynamics in a shortened time. Accelerated adiabatic dynamics start by assuming the candidate of driving Hamiltonian consists of the pair-wise exchange interaction and magnetic field. The driving Hamiltonian terms multiplied by the velocity function together with the original Hamiltonian give fast-forward driving for adiabatic states. We apply our method to XY spin model by considering three spin systems on the Kagome lattice. In this model, we obtained the XY pair-wise exchange interaction of nearest neighbors and next-nearest neighbors should be added to the original Hamiltonian as a driving interaction to accelerate the adiabatic motion. This pair-wise driving interaction in the fast-forward scheme guarantees the complete fidelity of accelerated states.

arXiv:2301.09039•Physica Scripta•Jan 13, 2023•2 citations
Abstract We study a scheme to accelerate adiabatic quantum dynamics of Dirac particle. This scheme using the strategy of combining two opposite ideas: infinitely-large time-magnification factor (𝛼̅) and infinitely-small growth rate (𝜖) of adiabatic parameter. The accelerated adiabatic state is obtained by obtaining the regularization term and driving potential. We introduce the proposed method to the system of two level systems of Dirac particle by using a (1 + 1) dimension time dependent Dirac equation and obtained the regularization term. By tuning the driving magnetic field, this method to be able to accelerate adiabatic dynamics of electron as a Dirac particle in the ground state that considered as a two level system. This acceleration will preserve the ground state of the wave function from initial to the final time.
Abstract We study a scheme of accelerated adiabatic quantum dynamics. This scheme was originally proposed by Masuda-Nakamura. The strategy of combining two opposite idea: infinitely-large timemagnification factor and infinitely-small growth rate of adiabatic parameter was elucidated. We apply the proposed method to two dimensional system with electric field and magnetic field using two dimensional Dirac equation. We settle the quasi-adiabatic dynamics (QAD) by adding the regularization terms to the original vector potential and scalar potential and accelerate it with use of a large time-scaling factor which realizes QAD on shortened time scale. These terms multiplied by the velocity function give the counterdiabatic terms that generate the fast forward potential. The fast forward potential can accelerate the dynamics of the system from iniitial state to the final state with the same condition.
Abstract We study a scheme of accelerated adiabatic quantum dynamics. This scheme was originally proposed by Masuda-Nakamura. The strategy of combining two opposite idea: infinitely-large time-magnification factor (ᾱ) and infinitely-small growth rate (ɛ) of adiabatic parameter was elucidated. We apply the proposed method to the Hall system with electric and magnetic field and obtain regularization term, driving potential VFF and driving Hamiltonian HFF to accelerate the system. The driving potential VFF and the driving Hamiltonian HFF to be able to accelerate adiabatic electron dynamics in the ground state trapped in the plane xy and electric field in the x direction and a constant magnetic field in y direction.
We study a scheme of fast-forward adiabatic quantum dynamics of a (2 + 1) Dirac particle. This scheme was originally proposed by Masuda and Nakamura. In this scheme, we include the adiabatic parameter that maintains the adiabatic motion of the particle and fast forward its motion by introducing a time scaling parameter. The fast forward adiabatic state is obtained by determining the regularization term and driving potential. We introduce the proposed method to the system with the Dirac particle using a (2 + 1) dimensiontime- dependent Dirac equation and obtain the regularization term, the driving scalar potential VFF and the driving vector potential AFF . By tuning the driving electric field, this method can accelerate the adiabatic dynamics of an electron as a Dirac particle trapped in the ground state in the plane xy and an electric field in the x direction and a constant magnetic field in the y direction. This acceleration will preserve the ground state of the wave function from the initial time to the final time.
Abstract We discuss a method of controlling Dirac dynamics in (2+1)-dimensions using adiabatic fast-forward method proposed by Masuda-Nakamura. Due to infinitely large amount of time of adiabaticity, we have to use an infinitely large scaling factor to shorten the time interval. Thus, we need a regularization to remove this infinity. Our strategy is analogue to adiabatic fast-forward of Schrodinger equation. That is using an auxiliary Hamiltonian but now we use two phase factors applied to the components of spinor. We applied to a case where a system is controlled by uniform magnetic field.
We study a scheme for the acceleration of adiabatic quantum dynamics.Masuda-Nakamura's theory of acceleration uses a strategy of combining two opposite ideas: infinitely-large time-magnification factor ( ᾱ) and infinitely-small growth rate ( ) for the adiabatic parameter.We apply the proposed method to a system with a parameter-dependent asymmetric double-well potential which has no scale invariance, and obtain the elctromagnetic field required to accelerate the system.The ground state wave function, initially localized in one well, quickly moves to another well.We investigate two kinds of ground-state wave functions: with and without space-dependent phase η.For the system with non-zero η, we show the fast-forward of the adiabatic change for current density distribution more clearly characterizes the well-to-well transport and is deformed as the finite renormalized time-multiplication factor (v = ᾱ) is varied.
Abstract We discussed a method to accelerate an adiabatic quantum dynamics of XY spin model by using the fast-forward method proposed by Masuda and Nakamura. The Accelerated scheme is constructed by adding the driving Hamiltonian to the original Hamiltonian and speeding it up with a large time-scaling factor and an adiabatic parameter that realizes adiabatic quantum dynamics in a shortened time. Accelerated adiabatic dynamics start by assuming the candidate of driving Hamiltonian consists of the pair-wise exchange interaction and magnetic field. The driving Hamiltonian terms multiplied by the velocity function together with the original Hamiltonian give fast-forward driving for adiabatic states. We apply our method to XY spin model by considering three spin systems on the Kagome lattice. In this model, we obtained the XY pair-wise exchange interaction of nearest neighbors and next-nearest neighbors should be added to the original Hamiltonian as a driving interaction to accelerate the adiabatic motion. This pair-wise driving interaction in the fast-forward scheme guarantees the complete fidelity of accelerated states.