Bloch Oscillations Due to Quantum Domain Breathing in One-Dimensional Electronic Photoinduced Phase Transitions

We theoretically predict a novel oscillation that will be observed during the dynamical processes of one-dimensional electronic photoinduced phase transitions. This oscillation is considered to be a breathing mode of a quantum domain of a photoinduced phase in the background of the initial phase. When the initial phase is sufficiently stable, being far apart from the phase boundary, the domain feels a constant attractive force depending on its size or the distance between the two domain walls. This fact allows an interpretation that this oscillation is essentially the same as a so-called Bloch oscillation seen for the Stark ladder.

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Theory of Photoinduced Phase Transitions: From Semiclassical to Quantum Aspects

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.112.21 ◽

2006 ◽

Vol 112 ◽

pp. 21-38

Author(s):

Tetsuo Ogawa

Keyword(s):

Phase Transitions ◽

Excited States ◽

Domain Walls ◽

Particle Density ◽

Structural Phase ◽

Electron Hole ◽

One Dimensional ◽

First Order Phase Transition ◽

New Material ◽

First Order Phase

We review recent progress of theoretical studies for the photoinduced phase tran- sitions (PIPTs) to clarify what the PIPTs are. There are two types of the PIPTs: (a) global change via optically excited states and (b) new material phase creation in optically excited states. First, concerning (a), photoinduced structural phase transitions via excited electronic states are discussed using a minimal one-dimensional model composed of localized electrons and lattices. We show that the global structural change by photoexcitation only at a single site is possible under the adiabatic or diabatic approximation. This dynamics of the domain bound- aries (domain walls) is called the “photoinduced domino process,” which is the photoinduced nucleation in nonequilibrium first-order phase transition. Second, concerning (b), we discuss quantum orders of electron-hole (e-h) systems, which are optically excited states of insulators consisting of many electrons and holes in two bands. In particular, the “exciton Mott transi- tion,” i.e., the “from-insulator-to-metal” transition of the e-h systems as the particle density increases is introduced. We stress that this transition depends strongly on dimensionality of the system.

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Quantum domain walls in the one-dimensional Ising model in a transverse field

Physics Letters A ◽

10.1016/0375-9601(81)90103-1 ◽

1981 ◽

Vol 81 (7) ◽

pp. 407-410 ◽

Cited By ~ 4

Author(s):

P. Prelovšek ◽

I. Sega

Keyword(s):

Ising Model ◽

Domain Walls ◽

Transverse Field ◽

One Dimensional ◽

Quantum Domain ◽

The One

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Entrainment and Annihilation of Reentrant Excitation in a Periodically Stimulated Ring of Excitable Media

Methods of Information in Medicine ◽

10.1055/s-0038-1636861 ◽

1997 ◽

Vol 36 (04/05) ◽

pp. 290-293

Author(s):

L. Glass ◽

T. Nomura

Keyword(s):

Cardiac Arrhythmias ◽

Initial Phase ◽

Human Heart ◽

Periodic Wave ◽

Excitable Media ◽

One Dimensional ◽

Clinical Observations ◽

Periodic Stimulation ◽

Reentrant Excitation ◽

Stimulation Of

Abstract:Excitable media, such as nerve, heart and the Belousov-Zhabo- tinsky reaction, exhibit a large excursion from equilibrium in response to a small but finite perturbation. Assuming a one-dimensional ring geometry of sufficient length, excitable media support a periodic wave of circulation. As in the periodic stimulation of oscillations in ordinary differential equations, the effects of periodic stimuli of the periodically circulating wave can be described by a one-dimensional Poincaré map. Depending on the period and intensity of the stimulus as well as its initial phase, either entrainment or termination of the original circulating wave is observed. These phenomena are directly related to clinical observations concerning periodic stimulation of a class of cardiac arrhythmias caused by reentrant wave propagation in the human heart.

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Quantum phase transitions in a quasi-one-dimensional Ising quantum magnet in transverse fields

Physical Review B ◽

10.1103/physrevb.103.144405 ◽

2021 ◽

Vol 103 (14) ◽

Author(s):

Xiaowen Zhang ◽

Zheng He ◽

Yiqing Hao ◽

Yao Shen ◽

Shoudong Shen ◽

...

Keyword(s):

Phase Transitions ◽

Quantum Phase Transitions ◽

Quantum Phase ◽

One Dimensional ◽

Quantum Magnet ◽

Transverse Fields

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Phase transitions in GLSMs and defects

Journal of High Energy Physics ◽

10.1007/jhep05(2021)006 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Ilka Brunner ◽

Fabian Klos ◽

Daniel Roggenkamp

Keyword(s):

Phase Transitions ◽

Boundary Conditions ◽

Sigma Models ◽

Domain Walls ◽

Two Dimensional ◽

Linear Sigma Models

Abstract In this paper, we construct defects (domain walls) that connect different phases of two-dimensional gauged linear sigma models (GLSMs), as well as defects that embed those phases into the GLSMs. Via their action on boundary conditions these defects give rise to functors between the D-brane categories, which respectively describe the transport of D-branes between different phases, and embed the D-brane categories of the phases into the category of D-branes of the GLSMs.

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