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Collective Excitations in Bose

A. Mysyrowicz, Daniele Hulin, A. Antonetti, A. Migus, William Ted Masselink, Hadis Morkoç, Randall G. Hulet, Bose-Einstein Condensates, J. Rogel-Salazar

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

us with the opportunity to address the specific issue of the role of intervalence band coherences. Figure 2 shows the observed coherently coupled lh-exciton Stark shift together with the conventional hh-exciton Stark shift measured with 0’ and d probe pulses, respectively. Our theoretical analysis is based on a thirdorder expansion of the dynamics-controlled truncation formalism.1° Other than the restriction to 1s-excitons, no further approximations are made.” In Figure 3 we show results with and without intervalence band coherences. In the limit of large detunings, the semiconductor response approaches that of a three-level system, in which case the coherently-coupled lh-exciton Stark shift vanishes in the absence of the Raman coherence. Clearly, the experimental observations can only be understood in the presence of the Raman coherence. The fact that the observed hhlh shift ratio increases at small detunings can be attributed to and simulated with the assumption of an optically induced decay of the Raman coherence, which is likely to be most effective at smaller than at large detunings. We acknowledge support by NSF, JSOP and COEDIP.

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ÄÂРÄÑÊÏÑÉÐÑÔÕß ÔÑÊÆÂÐËâ ×ÑÕÑÒÓËÇÏÐËÍÂ Ô ÒÇÓÇÔÕÓÂË-ÄÂÇÏÑÌ ÔÒÇÍÕÓÂÎßÐÑÌ ÚÖÄÔÕÄËÕÇÎßÐÑÔÕßá.®ÂÍÔËÏÂÎß-ÐÂâ ÑÃÐÂÓÖÉËÕÇÎßÐÂâ ÔÒÑÔÑÃÐÑÔÕß ÔÕÓÖÍÕÖÓÞ Ge/Si Ô ¬´ÍÂÍ ×ÑÕÑÒÓËÇÏÐËÍ ÔÑÔÕÂÄËΠ1Y7  10 8 ÔÏ ¤Ù 1a2 £Õ À1 РÆÎËÐÇ ÄÑÎÐÞ 20 ÏÍÏ Ë 0Y7  10 8 ÔÏ ¤Ù 1a2 £Õ À1 РÆÎËÐÇ ÄÑÎÐÞ 10 ÏÍÏ ÒÓË ÕÇÏÒÇÓÂÕÖÓÇ 300 ¬ [15].²ÂÃÑÕ ÄÞÒÑÎÐÇРÒÓË ÒÑÆÆÇÓÉÍÇ ÒÓÑÅÓÂÏÏÞ " ¶ËÊËÍ ÕÄÇÓÆÑÕÇÎßÐÞØ ÐÂÐÑÔÕÓÖÍÕÖÓ" (ÒÓÑÇÍÕÞ 98-1100, 00-17-2 ¶), ² ¶ ¶ª (ÒÓÑÇÍÕÞ 99-02-39051¤ ¶¦¯, 00-02-17885).³ÒËÔÑÍ ÎËÕÇÓÂÕÖÓÞ 1. Jacak L, Hawrylak P, Wojs A Quantum Dots (Berlin: Springer, 1998) 2. ÇÆÇÐÙÑÄ ¯¯Ë ÆÓ. ¶´± 32 385 (1998) 3. ±ÚÇÎâÍÑÄ ° ± Ë ÆÓ. ªÊÄ.²¡¯.³ÇÓ.¶ËÊ.63 228 (1999) 4. £ÑÔÕÑÍÑÄ ¯£ Ë ÆÓ. ¶´± 34 8 (2000) 5. Yakimov A I et al.Philos.Mag.B 65 701 (1992) 6. Yakimov A I et al.J. Phys.Condens.Mat. 6 2573 (1994) 7. ¥ÄÖÓÇÚÇÐÔÍËÌ ¡ £, ¯ÇÐÂÛÇÄ ¡ ¡, ÁÍËÏÑÄ ¡ ª, Ä ÔÃ. ¯ÂÐÑ×Ñ-ÕÑÐËÍÂ: ®ÂÕÇÓËÂÎÞ £ÔÇÓÑÔ.³ÑÄÇÜÂÐËâ (¯ËÉÐËÌ ¯ÑÄÅÑÓÑÆ, ÏÂÓÕ 2001 Å.) (¯ËÉÐËÌ ¯ÑÄÅÑÓÑÆ: ª ¶® ²¡¯, 2001) (Ä ÒÇÚÂÕË) 8. ¥ÄÖÓÇÚÇÐÔÍËÌ ¡ £, ÁÍËÏÑÄ ¡ ª ªÊÄ.²¡¯.³ÇÓ.¶ËÊ.64 288 (2000) 9. ¥ÄÖÓÇÚÇÐÔÍËÌ ¡ £, ÁÍËÏÑÄ ¡ ª ªÊÄ.²¡¯.³ÇÓ.¶ËÊ.65 187 (2001) 10.ÁÍËÏÑÄ ¡ ª Ë ÆÓ. ¨¿´ ¶ 119 574 (2001) 11.Yakimov A I et al.

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Evidence for Intervalence Band Coherences in Semiconductor Quantum Wells via Coherently Coupled Optical Stark Shifts

Michael E. Donovan, Axel Schülzgen, J. Lee +9 more

We report the experimental observation of coherently coupled heavy-hole-light-hole Stark shifts, i.e., light-hole exciton shifts under heavy-hole exciton pumping conditions, in InGaAs quantum wells. The theoretical analysis of the data is based on a full many-body approach (dynamics-controlled truncation formalism) in the third-order nonlinear optical regime. It is shown that the Stark shift data can be interpreted as strong evidence of suitably defined nonradiative intervalence band coherences in a semiconductor quantum well. Hence, the observations establish a semiconductor analog of Raman coherences in three-level atoms.

Physical Review Letters•Nov 16, 2001•54 citations
us with the opportunity to address the specific issue of the role of intervalence band coherences. Figure 2 shows the observed coherently coupled lh-exciton Stark shift together with the conventional hh-exciton Stark shift measured with 0’ and d probe pulses, respectively. Our theoretical analysis is based on a thirdorder expansion of the dynamics-controlled truncation formalism.1° Other than the restriction to 1s-excitons, no further approximations are made.” In Figure 3 we show results with and without intervalence band coherences. In the limit of large detunings, the semiconductor response approaches that of a three-level system, in which case the coherently-coupled lh-exciton Stark shift vanishes in the absence of the Raman coherence. Clearly, the experimental observations can only be understood in the presence of the Raman coherence. The fact that the observed hhlh shift ratio increases at small detunings can be attributed to and simulated with the assumption of an optically induced decay of the Raman coherence, which is likely to be most effective at smaller than at large detunings. We acknowledge support by NSF, JSOP and COEDIP.
The coherent response of a semiconductor three-state system to one or two intense light pulses is investigated experimentally on a 100 fs time scale. Three experiments constitute this dissertation: observation of excitonic Rabi oscillations, measurement of two-exciton coupled Stark shifting, and an attempt to observe dark states. Basic concepts of time-resolved ultrafast semiconductor spectroscopy are explained, followed by an analysis of semiconductor two- and three-state systems. Pure two- and three-state dynamics are derived from first principles, followed by the development of the appropriate semiconductor Bloch equations (SBE). Two-color pump-probe, two-color pump-pump, and pump-pump-probe techniques are explained in the context of three-state semiconductor experiments. The experimental setup is explained in detail. Resonant two-color pump-probe measurements resulted in the first observation of multiple excitonic Rabi oscillations. The common conduction band shared by the light-hole and heavy-hole excitons of an InGaAs multiple quantum well allowed us to measure hh-exciton density (Rabi) oscillations by probing lh-exciton absorption. By studying the intensity dependence of the Rabi frequency, we showed the important role of many-body effects in renormalizing the dipole energy. The shared conduction band also causes the lh-exciton resonance to Stark shift when the hh exciton is Stark shifted. We measured a transient Stark shifting of both resonances due to virtual hh-exciton transitions. We observed that the ratio of the hh-exciton shift to lh-exciton shift was 2:1 at large pump-exciton detuning, as predicted from a simple three-state dressed exciton picture. For smaller detunings we saw an increase in the ratio and a redshift of the non-dipole coupled exciton state. Both of these observations are consistent with the most recent theories and experiments on excitonic Stark shifting. For strong near-resonant pumping of both lh- and hh-exciton transitions, an intervalence-band Raman-type coherence follows from the SBE that results in a transparent eigenstate (dark state) when both pumps are equally detuned from resonance. The existence of this coherence is well-known in atomic-optical systems, but has been elusive in semiconductors. Our inconclusive experimental result is presented along with an evaluation of experimental shortcomings. In brief, the expected change is absorption was too small to see.
Summary form only given. The optical Stark shift in semiconductors transient nonlinearity which helps to understand fundamental ultrafast microscopic processes. Studies of similarities and differences between optical Stark shifts in atomic two-level systems and those observed in semiconductors led to the understanding of semiconductor-specific many-body effects such as biexcitons and Coulomb memory effects. While the two-level analogies of Stark shifts in semiconductors have been successfully exploited, the question of what one can learn from a comparison of coherent atomic three-level effects with optical Stark shifts in semiconductors using the coherent coupling between heavy-hole (hh) and light-hole (lh) excitons has not been addressed so far. In atomic three-level systems, nonradiative or Raman coherences are the foundation of important nonlinear optical effects such as electromagnetically-induced transparency and lasing without inversion. We investigate these coherences in an InGaAs multiple quantum well utilizing coherently-coupled Stark shift measurements of the hh- and lh-exciton resonances.
ÄÂРÄÑÊÏÑÉÐÑÔÕß ÔÑÊÆÂÐËâ ×ÑÕÑÒÓËÇÏÐËÍÂ Ô ÒÇÓÇÔÕÓÂË-ÄÂÇÏÑÌ ÔÒÇÍÕÓÂÎßÐÑÌ ÚÖÄÔÕÄËÕÇÎßÐÑÔÕßá.®ÂÍÔËÏÂÎß-ÐÂâ ÑÃÐÂÓÖÉËÕÇÎßÐÂâ ÔÒÑÔÑÃÐÑÔÕß ÔÕÓÖÍÕÖÓÞ Ge/Si Ô ¬´ÍÂÍ ×ÑÕÑÒÓËÇÏÐËÍ ÔÑÔÕÂÄËΠ1Y7  10 8 ÔÏ ¤Ù 1a2 £Õ À1 РÆÎËÐÇ ÄÑÎÐÞ 20 ÏÍÏ Ë 0Y7  10 8 ÔÏ ¤Ù 1a2 £Õ À1 РÆÎËÐÇ ÄÑÎÐÞ 10 ÏÍÏ ÒÓË ÕÇÏÒÇÓÂÕÖÓÇ 300 ¬ [15].²ÂÃÑÕ ÄÞÒÑÎÐÇРÒÓË ÒÑÆÆÇÓÉÍÇ ÒÓÑÅÓÂÏÏÞ " ¶ËÊËÍ ÕÄÇÓÆÑÕÇÎßÐÞØ ÐÂÐÑÔÕÓÖÍÕÖÓ" (ÒÓÑÇÍÕÞ 98-1100, 00-17-2 ¶), ² ¶ ¶ª (ÒÓÑÇÍÕÞ 99-02-39051¤ ¶¦¯, 00-02-17885).³ÒËÔÑÍ ÎËÕÇÓÂÕÖÓÞ 1. Jacak L, Hawrylak P, Wojs A Quantum Dots (Berlin: Springer, 1998) 2. ÇÆÇÐÙÑÄ ¯¯Ë ÆÓ. ¶´± 32 385 (1998) 3. ±ÚÇÎâÍÑÄ ° ± Ë ÆÓ. ªÊÄ.²¡¯.³ÇÓ.¶ËÊ.63 228 (1999) 4. £ÑÔÕÑÍÑÄ ¯£ Ë ÆÓ. ¶´± 34 8 (2000) 5. Yakimov A I et al.Philos.Mag.B 65 701 (1992) 6. Yakimov A I et al.J. Phys.Condens.Mat. 6 2573 (1994) 7. ¥ÄÖÓÇÚÇÐÔÍËÌ ¡ £, ¯ÇÐÂÛÇÄ ¡ ¡, ÁÍËÏÑÄ ¡ ª, Ä ÔÃ. ¯ÂÐÑ×Ñ-ÕÑÐËÍÂ: ®ÂÕÇÓËÂÎÞ £ÔÇÓÑÔ.³ÑÄÇÜÂÐËâ (¯ËÉÐËÌ ¯ÑÄÅÑÓÑÆ, ÏÂÓÕ 2001 Å.) (¯ËÉÐËÌ ¯ÑÄÅÑÓÑÆ: ª ¶® ²¡¯, 2001) (Ä ÒÇÚÂÕË) 8. ¥ÄÖÓÇÚÇÐÔÍËÌ ¡ £, ÁÍËÏÑÄ ¡ ª ªÊÄ.²¡¯.³ÇÓ.¶ËÊ.64 288 (2000) 9. ¥ÄÖÓÇÚÇÐÔÍËÌ ¡ £, ÁÍËÏÑÄ ¡ ª ªÊÄ.²¡¯.³ÇÓ.¶ËÊ.65 187 (2001) 10.ÁÍËÏÑÄ ¡ ª Ë ÆÓ. ¨¿´ ¶ 119 574 (2001) 11.Yakimov A I et al.
We report the experimental observation of coherently coupled heavy-hole-light-hole Stark shifts, i.e., light-hole exciton shifts under heavy-hole exciton pumping conditions, in InGaAs quantum wells. The theoretical analysis of the data is based on a full many-body approach (dynamics-controlled truncation formalism) in the third-order nonlinear optical regime. It is shown that the Stark shift data can be interpreted as strong evidence of suitably defined nonradiative intervalence band coherences in a semiconductor quantum well. Hence, the observations establish a semiconductor analog of Raman coherences in three-level atoms.