Adiabatic excitation of a confined particle in one dimension with a variable infinitely sharp wall

Kasumie, Sho; Miyamoto, Manabu; Tanaka, Atushi

doi:10.1103/physreva.93.042105

Cited by 9 publications

(16 citation statements)

References 22 publications

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“…As pointed out in [8], for a single particle case, the present scheme may be extended to the case of an arbitrary shape of the confinement potential V (x).…”

Section: Discussion and Summarymentioning

confidence: 99%

“…2. A more rigorous argument is found in [8]. First, let us consider the case that the initial state is the ground state |1(g = 0, X = x 0 ) of the particle in the infinite square well, where |n(g, X) denotes the n-th adiabatic eigenstate of H(g, X) during processes C I and C III .…”

Section: Figmentioning

confidence: 99%

“…In general, the level crossing of the one-particle Hamiltonian (1) during the process C II plays an important role to determine which pairs of eigenstates are interchanged by C, while there is no level crossing generically during the processes C I and C III [8].…”

Section: Figmentioning

confidence: 99%

“…In order to examine N Bose particles in a one-dimensional box with an additional δ-wall, we review the single particle case, i.e., N = 1 [8], where the system is described by the Hamiltonian:…”

Section: A Particle In a Box With A δ-Wallmentioning

confidence: 99%

“…This is in contrast to the scheme described in [4,5], where the interaction strength between Bose particles is an effective adiabatic parameter. In this study, we suppose that the wall is described by a δ-function shaped potential [6][7][8]. We show that the first excited one-particle state is occupied by all the bosons to achieve the population inversion completely, if the system is prepared to be in the ground state.…”

Section: Introductionmentioning

confidence: 99%

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Adiabatic cycles in quantum systems with contact interactions

Tanaka¹,

Cheon²

2017

Nanosystems: Phys. Chem. Math.

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An adiabatic cycle involving the δ-function potential is shown to excite Bose particles confined in a one-dimensional box. We consider a cycle, during which a wall described by a δ potential is applied and its strength and position are slowly varied. When the system is initially prepared in the equilibrium ground state, the adiabatic cycle brings all bosons into the first excited one-particle state, leaving the system in a nonequilibrium state. The absorbed energy during the cycle is proportional to the number of bosons.

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“…As pointed out in [8], for a single particle case, the present scheme may be extended to the case of an arbitrary shape of the confinement potential V (x).…”

Section: Discussion and Summarymentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: A Particle In a Box With A δ-Wallmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adiabatic cycles in quantum systems with contact interactions

Tanaka¹,

Cheon²

2017

Nanosystems: Phys. Chem. Math.

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Dipolar physics: a review of experiments with magnetic quantum gases

et al. 2022

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Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the experimental investigation of ultracold gases made of highly magnetic atoms has blossomed. The field has yielded the observation of many unprecedented phenomena, in particular those in which long-range and anisotropic dipole-dipole interactions play a crucial role. In this review, we aim to present the aspects of the magnetic quantum-gas platform that make it unique for exploring ultracold and quantum physics as well as to give a thorough overview of experimental achievements. Highly magnetic atoms distinguish themselves by the fact that their electronic ground-state configuration possesses a large spin (as well as a large $g$ factor). This results in a large magnetic moment and a rich electronic transition spectrum. Such transitions are useful for cooling, trapping, and manipulating these atoms. The complex atomic structure and large dipolar moments of these atoms also lead to a dense spectrum of resonances in their two-body scattering behaviour. These resonances can be used to control the interatomic interactions and, in particular, the relative importance of contact over dipolar interactions. These features provide exquisite control knobs for exploring the few- and many-body physics of dipolar quantum gases. The study of dipolar effects in magnetic quantum gases has covered various few-body phenomena that are based on elastic and inelastic anisotropic scattering. Various many-body effects have also been demonstrated. These affect both the shape, stability, dynamics, and excitations of fully polarised repulsive Bose or Fermi gases. Beyond the mean-field instability, strong dipolar interactions competing with slightly weaker contact interactions between magnetic bosons yield new quantum-stabilised states, among which are self-bound droplets, droplet assemblies, and supersolids. Dipolar interactions also deeply affect the physics of atomic gases with an internal degree of freedom as these interactions intrinsically couple spin and atomic motion. Finally, long-range dipolar interactions can stabilise strongly correlated excited states of 1D gases and also impact the physics of lattice-confined systems, both at the spin-polarised level (Hubbard models with off-site interactions) and at the spinful level (XYZ models). In the present manuscript, we aim to provide an extensive overview of the various related experimental achievements up to the present.

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Complete population inversion of Bose particles by an adiabatic cycle

Tanaka

Cheon

2016

New J. Phys.

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We show that an adiabatic cycle excites Bose particles confined in a one-dimensional box. During the adiabatic cycle, a wall described by a δ-shaped potential is applied and its strength and position are slowly varied. When the system is initially prepared in the ground state, namely, in the zerotemperature equilibrium state, the adiabatic cycle brings all Bosons into the first excited one-particle state, leaving the system in a nonequilibrium state. The absorbed energy during the cycle is proportional to the number of Bosons. A particle in a box with a δ-wallIn order to examine N Bose particles in a one-dimensional box with an additional δ-wall, we review the single particle case, i.e., N=1 [18], where the system is described by the Hamiltonian

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Adiabatic excitation of a confined particle in one dimension with a variable infinitely sharp wall

Cited by 9 publications

References 22 publications

Adiabatic cycles in quantum systems with contact interactions

Adiabatic cycles in quantum systems with contact interactions

Dipolar physics: a review of experiments with magnetic quantum gases

Complete population inversion of Bose particles by an adiabatic cycle

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