Correlation effects in the ultrafast dynamics of the Quantum Hall system close to <i>v</i> = 1

Kavousanaki, Eleftheria; Dani, Keshav M.; Tignon, Jérôme; Chemla, D. S.; Perakis, I. E.

doi:10.1002/pssb.200668076

Cited by 5 publications

(5 citation statements)

References 25 publications

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“…We conclude that the vertex (rescattering) corrections affect the FWM profile in a significant way. In particular, the non−exponential time−dependence of the {1-LL0-e + 1-LL1-h + LL0→LL1MP} correlation manifests itself in the symmetric temporal profile of the Δ t 13 signal, which is not adequately described by the Born approximation or by the average polarization model used to inerpret the 2DEG FWM experiments. ,,− …”

Section: Inter-ll Dynamical Couplings In Three-pulse Four-wave-mixingmentioning

confidence: 99%

“…Fractional quantum Hall effects occur when an integer number of composite fermion LLs are fully occupied. , In terms of applications, the quantum coherence of the QHS may be useful for realizing robust many-body qubits that can be coherently controlled with light for implementing quantum computation schemes . Ultrarafast nonlinear spectroscopy can shed light into the coherent dynamics of the QHS. − The above developments make our theoretical advances, which address transient coherence and relaxation in strongly correlated systems, particularly timely.…”

Section: Introductionmentioning

confidence: 99%

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Strong Electronic Correlation Effects in Coherent Multidimensional Nonlinear Optical Spectroscopy

et al. 2011

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We discuss a many-body theory of the coherent ultrafast nonlinear optical response of systems with a strongly correlated electronic ground state that responds unadiabatically to photoexcitation. We introduce a truncation of quantum kinetic density matrix equations of motion that does not rely on an expansion in terms of the interactions and thus applies to strongly correlated systems. For this we expand in terms of the optical field, separate out contributions to the time-evolved many-body state due to correlated and uncorrelated multiple optical transitions, and use "Hubbard operator" density matrices to describe the exact dynamics of the individual contributions within a subspace of strongly coupled states, including "pure dephasing". Our purpose is to develop a quantum mechanical tool capable of exploring how, by coherently photoexciting selected modes, one can trigger nonlinear dynamics of strongly coupled degrees of freedom. Such dynamics could lead to photoinduced phase transitions. We apply our theory to the nonlinear response of a two-dimensional electron gas (2DEG) in a magnetic field. We coherently photoexcite the two lowest Landau level (LL) excitations using three time-delayed optical pulses. We identify some striking temporal and spectral features due to dynamical coupling of the two LLs facilitated by inter-Landau-level magnetoplasmon and magnetoroton excitations and compare to three-pulse four-wave-mixing (FWM) experiments. We show that these features depend sensitively on the dynamics of four-particle correlations between an electron-hole pair and a magnetoplasmon/magnetoroton, reminiscent of exciton-exciton correlations in undoped semiconductors. Our results shed light into unexplored coherent dynamics and relaxation of the quantum Hall system (QHS) and can provide new insight into non-equilibrium co-operative phenomena in strongly correlated systems.

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Section: Inter-ll Dynamical Couplings In Three-pulse Four-wave-mixingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Strong Electronic Correlation Effects in Coherent Multidimensional Nonlinear Optical Spectroscopy

et al. 2011

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“…Recent time-resolved four-wave-mixing experiments have shed new light into the dynamics of this strongly correlated system [25,[38][39][40][41][42][43][44][45][46][47][48]. The 2DEG correlations and collective electronic excitations dominate the dephasing of the photoexcited excitons for low photoexcitation intensities [25,[38][39][40][41][42][43][44][45][46][47][48], while the time and frequency dependence of the FWM spectra revealed new dynamical features that could not be explained within the random phase approximation (RPA). Of particular interest is the dynamics of the quantum Hall system during time scales comparable to the characteristic time it takes the cold 2DEG "bath" system to react to the introduction of photoexcited excitons.…”

Section: Chapter 1 Introduction 11 Motivationmentioning

confidence: 99%

Ultrafast nonlinear optical response of the quantum Hall system

Kavousanaki¹,

Perakis²,

Dani³

et al. 2007

2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference

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“…We conclude that the vertex (rescattering) corrections affect the FWM profile in a significant way.In particular, the non-exponential time-dependence of the {1-LL0-e + 1-LL1-h + LL0→LL1 MP} correlation manifests itself in the symmetric temporal profile of the ∆t 13 signal, which is not adequately described by the Born approximation or by the average polarization model used to inerpret the 2DEG FWM experiments. [20,84,88,89,90,91] We now turn to the population relaxation. 5.7(a) and (b) show the time evolution of the LL0 (n 0 ) and LL1 (n 1 )total carrier populations, photoexcited at t=0 by a single optical pulse, and their different contributions, 5.…”

Section: Numerical Results and Comparison To Experimentsmentioning

confidence: 99%

“…[81] Ultrarafast nonlinear 1.2 Thesis Structure spectroscopy can shed light into the coherent dynamics of the QHS. [82,83,84,85,86,87,88,89,90,91] The above developments make our theoretical advances, which address transient coherence and relaxation in strongly correlated systems, particularly timely.…”

Section: Ch1mentioning

confidence: 99%

Ultrafast dynamical properties of strongly interacting systems under nonlinear coherent photoexcitation by multiple ultrashort laser pulses

Karadimitriou¹,

Καραδημητρίου²

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Στην παρούσα διδακτορική διατριβή παρουσιάζουμε μια θεωρία πολλών σωμάτων για την υπερταχή μη γραμμική οπτική απόκριση σε ημιαγωγούς και συστήματα με υψηλά συσχετισμένη θεμελιώδη κατάσταση, όπως το κβαντικό σύστημα Hall (QHS). Η θεωρία μας βασίζεται σε μια κατάτμηση των εξισώσεων κίνησης του τελεστή πυκνότητα, απουσία μιας μικρής παραμέτρου αλληλεπίδρασης που λαμβάνεται υπόψη για να αναπτύξουμε σε όρους του οπτικού πεδίου, και με τη χρήση τελεστών Hubbard με στόχο να περιγράψουμε την ακριβή δυναμική του συστήματος, μέσω ενός κβαντικού υπόχωρου καταστάσεων πολλών σωματιδίων. Στην χρονική κλίμακα των femptosecond και picosecond προσδιορίζουμε το “αποτύπωμα” των μη στιγμιαίων αλληλεπιδράσεων μεταξύ των μαγνητο-εξιτονίων (X) και του ασυμπίεστου δισδιάστατου ηλεκτρονιακού αερίου (2ΔΗΑ) , που περιγράφονται από την σύζευξη των μαγνητο-εξιτονίων ανάμεσα σε δύο επίπεδα Landau με τις συλλογικές διεγέρσεις του ηλεκτρονιακού αερίου (magnetoroton (MR) και magnetoplasmon (MP)). Δείχνουμε ότι η ισχυρή σύζευξη με τις παραπάνω διεγέρσεις αλλάζει τη διαχρονική εξέλιξη των μη γραμμικών οπτικών φασμάτων σε σύγκριση με την “Προσέγγιση τυχαίων φάσεων” (RPA) και οδηγεί σε συντονισμό απορρόφησης. Υπολογίζουμε το “τριών παλμών” FWM (Four Wave Mixing) σήμα, του οποίου η εξάρτηση από τις χρονικές καθυστερήσεις ανάμεσα στους παλμούς αντικατοπτρίζει την απώλεια φάσης και την χαλάρωση του έντονα συσχετισμένου συστήματος X - 2ΔΗΑ. Τα παραπάνω αποδεικνύουν ότι η δυναμική της αλληλεπίδρασης X - 2ΔΗΑ μπορεί να επιλυθεί με femtosecond οπτικούς παλμούς. Τα αποτελέσματά μας ρίχνουν φως σε ανεξερεύνητες sub-picosecond περιοχές του QHS και μπορούν να χρησιμοποιηθούν για να ερμηνεύσουν πειράματα δισδιάστατης φασματοσκοπίας συσχετισμένων συστημάτων.

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Correlation effects in the ultrafast dynamics of the Quantum Hall system close to v = 1

Cited by 5 publications

References 25 publications

Strong Electronic Correlation Effects in Coherent Multidimensional Nonlinear Optical Spectroscopy

Strong Electronic Correlation Effects in Coherent Multidimensional Nonlinear Optical Spectroscopy

Ultrafast nonlinear optical response of the quantum Hall system

Ultrafast dynamical properties of strongly interacting systems under nonlinear coherent photoexcitation by multiple ultrashort laser pulses

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