| 0:00:05 | okay |
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| 0:00:08 | and this time so working great what i |
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| 0:00:12 | yes |
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| 0:00:14 | i suppose there was a single day |
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| 0:00:17 | we all to joe's wow sounds interesting |
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| 0:00:21 | easy to more |
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| 0:00:27 | we propose the following specific set up for the realization of all the two shows |
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| 0:00:31 | an effect |
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| 0:00:33 | a both the and stan compensated rendering geometry is motion is effectively constraint on the |
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| 0:00:38 | radio degree of freedom as indicated by arrows in the sketch |
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| 0:00:42 | we consider the contents age to be initially and the zero angular momentum mode |
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| 0:00:47 | along effective degree of freedom a driving potential was applied |
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| 0:00:52 | in a specific example we take a potential which can be written as a product |
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| 0:00:56 | of a purely spatial and the purely time like part both of which can be |
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| 0:01:00 | decomposed in the first and the second harmonic |
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| 0:01:03 | this way both the time and space inversion symmetry is broken |
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| 0:01:08 | the overall amplitude of the driving should be sufficiently small and we should be close |
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| 0:01:13 | to a resonant driving frequency |
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| 0:01:16 | the dynamics of this system is an effect mainly governed by contributions of the zero |
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| 0:01:21 | and your momentum mode and to further non-zero angular momentum modes with which you opposite |
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| 0:01:27 | sign |
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| 0:01:28 | the motion among these models is described by an effect that hamiltonian which can be |
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| 0:01:33 | decomposed the following parts |
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| 0:01:35 | helping turn withholding parameters cannot class and come online is depending on the driving few |
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| 0:01:41 | parameters |
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| 0:01:42 | i can make a potential difference between the two side notes and the zero mode |
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| 0:01:46 | which is controlled via the tuning from exact resonance |
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| 0:01:50 | and finally turned that accounts for the particle interactions a central result is that the |
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| 0:01:55 | effective interaction term is such that two particles only interact with each other that when |
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| 0:02:00 | they are found in the same mode |
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| 0:02:02 | note that this effect that hamiltonian is not time dependent anymore |
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| 0:02:07 | this affective description is mathematically equivalent to that of an internal or external chooses injunction |
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| 0:02:13 | this observation and the characteristic of the participating nodes motivate term all individuals as an |
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| 0:02:19 | effect |
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| 0:02:20 | a more common to most system can be obtained by and accordingly adjustment of the |
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| 0:02:24 | driving few parameters such that i thought come up last argument minus vanishes |
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| 0:02:30 | in our numerical study we found three main dynamical regime |
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| 0:02:34 | apart from the well-known probably oscillations and a set of tripping regime we find a |
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| 0:02:39 | chaotic regime for intermediate interaction strength |
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| 0:02:43 | in this regime the mean few predictions fayer rapidly in time what can be seen |
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| 0:02:47 | by comparison of the mean field results within america solution of them anybody system within |
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| 0:02:52 | no effect of description |
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| 0:02:54 | in our analysis we do you a single particle syllables and one strong indications for |
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| 0:03:00 | the creation of macroscopic superpositions |
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| 0:03:02 | in the scouting regime |
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| 0:03:05 | interested then |
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| 0:03:07 | region |
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