T the fact that it is flying through a cavity. We’ll show that the regimes exactly where one finds Unruh effect in cavities (defined as thermalization from the probe to a temperature proportional to its acceleration when interacting together with the vacuum) are precisely those regimes exactly where the probe can not resolve information about the effect on the cavity walls. In summary, we will show that you can find regimes where the probe is blind towards the truth that it really is within a cavity and so experiences thermalization according to Unruh’s law.Symmetry 2021, 13,III. OUR show that is flying via a cavity. We willSETUP the regimes DeWitt interaction Hamiltonian [ where a single finds Unruh effect in cavities (defined as therIV. NON-PERTURBATIVE ^ ^ Contemplate a probe to a temperature proportional to malization of theprobe that is initially co-moving using the HI = qp (t( ^ cavity wall at x = interacting with all the vacuum) are a 0 and then begins to accelerate at its acceleration when of probe’s d next coupling strength. T continuous price a 0 where the far end on the cavity precisely these regimes towardsthe probe cannot resolve at whereWeis the compute 4the20 In interaction picture the tim x = L 0. Inside the impact of probe’s suitable time, , this tures the fundamental attributes of th information about terms from the the cavity walls. the probe-field method inside the n m action when exchange of angular th portion of the will show is given by In summary, wetrajectory that you can find regimes where evant [ ]. Note that x( the probe is blind to the reality that it’s in a cavity and so 3. Our Setup c2 -i nmax experiences thermalization – 1), t( to= c sinh(a /c), (five) by Eq. (5) when the probe accelera according ) Unruh’s law. ^x x = (cosh(a /c) which can be initially co-moving using the cavity wall at n = T and then U I = 0 expin the second Contemplate a probe cavity. The trajectory a a (n-1) begins to accelerate at a constant rate a 0 towards the far a simple reversed-translati end from the cavity at x = L 0. -1 c 2 for In terms the probe’s proper time, , this portion cavity0 of max = a cosh SETUP The on the trajectory is provided by III. OUR (1 + aL/c ). The probe’s lowered dynamics is crossing time within the lab frame is tmax = L 1 + 2c2 /aL. c two c The probe exits which )cavity at some speed, t(the c IV. NON-PERTURBATIVE pTI I [^p ] = Tr (Un (^ x ( initially co-moving with , rela(5) ^ I Take into consideration a probethe firstis = (cosh( a/c) – 1),vmax ) = sinh( a/c), n a Ebselen oxide Purity maximum Lorentz aspect a tive towards the x cavity walls with cavity wall at the= 0 and after that begins to accelerate at a max rate a 0 towards + 1 far 2 . 2 We subsequent compute circumstances n constant=0cosh(amax /c) c= 1theaL/cend of).the cavity at for max = a cosh- (1 + aL/c The cavity-crossingComposing the frame is = dyn time inside the lab the probe’s 1 a At 0. Inmax the 2probe probe’sthe second Neoxaline supplier cavitythisthe Inside the interaction image the time-e = enters proper time, , of probe accelerates and decelerat x = L t = L terms from the The probe exits the very first cavity at some speed, vmax , relative to 1 max two-cavityc cell+ 2c /aL. and starts decelerating with probe-field technique inside the nth up portion ofcavity walls withis offered byLorentz factor suitable ac- thebuild )the1 interaction image ca the trajectory maximum the max = cosh max /c + aL/c2 celeration a. The probe reaches the far finish with the second ( acell, I= = I .I . 1,2 cell 2 At = the and 1 starts two cavity,cx =2L, max theit comes to rest at = 2max . on the two-cavity just as probe enters c s.
