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

Work analysis of one-dimensional driven quantum systems

Maria Arazo Sánchez

Published Sep 6, 2018• 0 citations
OpenAlex

Abstract

In recent years there has been a tremendous advance in the techniques to trap and control systems of a few bosonic and fermionic atoms [1,2]. In these systems the trap properties are usually tunable, thus allowing one to study how the quantum system adapts to the new trap properties. In particular one can consider a simple scenario in which a particle is trapped in a harmonic oscillator potential which trapping frequency is varied in time with a given time dependence. This system represents a simple example where the concepts of work [3] need to be adapted to quantum

Related papers

One dimensional quantum gases: from few to many

Júlia Amorós-Binefa

Following a recent experimental study [Wenz et al. Science 342, 457 (2013)] on the achievement of the thermodynamic limit in a system of one-dimensional (1D) fermions, the project aims to investigate theoretically a similar problem for 1D Bose gases. By considering a system of bosons confined in a 1D harmonic trap and interacting with a single impurity, the plan is to calculate the binding energy of the impurity as the number of bosons in the bath is increased. The analysis will be performed by varying both the coupling strength of the bath and the interspecies interactio

•Jul 7, 2016•0 citations

Work and work fluctuations in quantum systems

H. Schröder, Jens Teifel, G. Mahler

The European Physical Journal Special Topics•Dec 1, 2007•9 citations

Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap

Ioannis Brouzos, Peter Schmelcher

We investigate the excitation properties of finite ultracold bosonic systems in a one-dimensional harmonic trap with a time-dependent interaction strength. The driving of the interatomic coupling induces excitations of the relative motion exclusively with specific and controllable contributions of momentarily excited many-body states. Mechanisms for selective excitation to few-body analogs of collective modes and acceleration occur in the vicinity of resonances. Via the few-body spectrum and a Floquet analysis, we study the excitation mechanisms and the corresponding impact of the driving frequency and strength as well as the initial correlation of the bosonic state. The fundamental case of two atoms is analyzed in detail and forms a key ingredient for the bottom-up understanding of cases with higher atom numbers, thereby examining finite-size corrections to macroscopic collective modes of oscillation.

arXiv:1112.4678•Physical Review A•Mar 26, 2012•13 citations

Time-dependent phenomena in one-dimensional quantum systems: driven quantum spin chains

Manvendra Singh

•Jan 1, 2023•0 citations

Fermionization in one-dimensional cold atom systems

Jonathan Lindgren

Recent developments in experimental techniques have made it possible to use magnetic fields to tune interactions between trapped cold atoms with different spin components allowing for detailed experimental investigations of the properties of quantum mechanical few-body systems. In this thesis we investigate the properties of two-component cold atoms trapped in a harmonic oscillator potential with a zero range interaction of arbitrary strength between the different species. In the limit of infinite interaction the atoms will tend to avoid each other. This is reminiscent of the Pauli principle and we will address differences and similarities to a system of identical fermions. Exact diagonalization of the Hamiltonian in a harmonic oscillator basis is used to obtain the eigenvectors and eigenvalues of the system and we also employ numerical methods borrowed from nuclear physics to generate effective interactions using unitary transformations. This method proves to be very effective for improving the convergence and the computation time is significantly decreased even for very strongly interacting systems.

•Jan 1, 2013•1 citation

Time-dependent phenomena in one-dimensional quantum systems: driven quantum spin chains

Manvendra Singh

•Jan 1, 2023•0 citations
In recent years there has been a tremendous advance in the techniques to trap and control systems of a few bosonic and fermionic atoms [1,2]. In these systems the trap properties are usually tunable, thus allowing one to study how the quantum system adapts to the new trap properties. In particular one can consider a simple scenario in which a particle is trapped in a harmonic oscillator potential which trapping frequency is varied in time with a given time dependence. This system represents a simple example where the concepts of work [3] need to be adapted to quantum
Following a recent experimental study [Wenz et al. Science 342, 457 (2013)] on the achievement of the thermodynamic limit in a system of one-dimensional (1D) fermions, the project aims to investigate theoretically a similar problem for 1D Bose gases. By considering a system of bosons confined in a 1D harmonic trap and interacting with a single impurity, the plan is to calculate the binding energy of the impurity as the number of bosons in the bath is increased. The analysis will be performed by varying both the coupling strength of the bath and the interspecies interactio
We investigate the excitation properties of finite ultracold bosonic systems in a one-dimensional harmonic trap with a time-dependent interaction strength. The driving of the interatomic coupling induces excitations of the relative motion exclusively with specific and controllable contributions of momentarily excited many-body states. Mechanisms for selective excitation to few-body analogs of collective modes and acceleration occur in the vicinity of resonances. Via the few-body spectrum and a Floquet analysis, we study the excitation mechanisms and the corresponding impact of the driving frequency and strength as well as the initial correlation of the bosonic state. The fundamental case of two atoms is analyzed in detail and forms a key ingredient for the bottom-up understanding of cases with higher atom numbers, thereby examining finite-size corrections to macroscopic collective modes of oscillation.
Recent developments in experimental techniques have made it possible to use magnetic fields to tune interactions between trapped cold atoms with different spin components allowing for detailed experimental investigations of the properties of quantum mechanical few-body systems. In this thesis we investigate the properties of two-component cold atoms trapped in a harmonic oscillator potential with a zero range interaction of arbitrary strength between the different species. In the limit of infinite interaction the atoms will tend to avoid each other. This is reminiscent of the Pauli principle and we will address differences and similarities to a system of identical fermions. Exact diagonalization of the Hamiltonian in a harmonic oscillator basis is used to obtain the eigenvectors and eigenvalues of the system and we also employ numerical methods borrowed from nuclear physics to generate effective interactions using unitary transformations. This method proves to be very effective for improving the convergence and the computation time is significantly decreased even for very strongly interacting systems.