For every single cell will be malization on the probe to a temperature proportio diverse. As a result, if we would prefer to make use with the ICM formalism discussed within the main its acceleration when interacting with all the vacuum text, we require to work inside the Schr inger image. precisely those regimes exactly where the probe can not r This will not mean having said that that computations performed within the interaction image are information concerning the impact of the BRD4884 HDAC cavity walls. useless. Indeed, we can construct the Schr inger image update map from I and I and two 1 ^S ^ S In summary, we will show that there are actually regimes ^I ^I ^ U0 as follows. We initially note that U+ and U- is often written in terms of U1 , U2 , and V0 as, the probe is blind for the reality that it is in a cavity experiencesS thermalization in accordance with Unruh’s l ^S ^S ^ ^I ^S ^ ^2 ^I ^U+ = U1 = V0 U1 , and U- = U2 = V0 U2 V0 , (A13) ^ ^ ^ where we’ve made use of (A11) with n = 1 and n = two, respectively. Recalling that V0 = U0 W0 III. OUR SETUP and noting that the field’s GS-621763 Biological Activity initial state, |0 0|, is fixed below its free of charge dynamics we then have,two ^ S [ P ] = (U0 I U0 )[ P ]. – ^cavity wall at x = 0 and then starts to accelerat (A15) constant price a 0 towards the far end from the cav x [ ^ ] = 0. terms ] = (U two I suitable ^ Composing these two maps we uncover S =L (SIn S )[ P from the 0probe’sI )[ P ] time, – + ^ cell P portion of the trajectory is given2 by 1 as claimed in the main text.Appendix B. Gaussian Interpolated Collision Model Formalism/c) – 1), x = (cosh(aco-moving wi S [ P ] = (U0 Consider a probe which can be initially (A14) I )[ P ], + ^ 1 ^As discussed inside the most important text, our capability to effectively calculate the fixed points and convergence prices of repeated application of S0 aided maxtwo cfacts: -1 (1setup is both The c for cell is by = a cosh our + aL/c2 ). Gaussian and Markovian. This allows us to use Gaussian Quantum Mechanicsis t and crossing time inside the lab frame (GQM)= L 1 + 2 max c more particularly the Gaussian Interpolated Collision Model formalism cavity at some speed, v The probe exits the first (Gaussian ICM) for max our calculations. This section will briefly evaluation these the cavity walls with maximum Lorentz tive towards the well-known methods and show how they are applied to our setup. Much more specifics on GQM and Gaussian ICM can 2 . found max = cosh(amax /c) = 1 + aL/c be in [581] and [43,62], respectively. At = the probe enters the second cavitymaxc2 at =c sinh(a /c atwo-cavity cell and starts decelerating with prop Appendix B.1. Gaussian Quantum Mechanics celeration a. The probe reaches the far finish from the GQM can be a restriction of quantum mechanics in which we just as ourselves to Gaussian = 2m cavity, x = 2L, restrict it comes to rest at states (states with Gaussian Wigner functions)Though a full light-matter interaction description and quadratic Hamiltonians. In GQM: call for matrices, setup [ ], as proof of principle w ^ (1) density matrices, , are replaced with covariancea 3 + 1D , and displacement vectors, x, which completely characterize a Gaussian assume phaseeach cavity includes a 1+1D massless state in that space; ^ ^ (2) quadratic Hamiltonians, H, are replaced with (t, x), with a freeand a vector, , such field, a quadratic form, F, Hamiltonian(3)(4)Concretely, the unitary transformation for the nth cavity in the interactionin t image -in t 2 c2 ^ sin(kn x) a e ^n + an e ^ (t, x) = (Equation (A5)), n Ln=^ ^ ^ ^ ^ ^ ^ ^ ^ that H = 1 X F X + X , exactly where X = (q0 , p0 , q1 , p1 , . . . ) could be the vector of th.
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