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Questions tagged [unruh-effect]

This tag is for questions regarding to the Unruh effect (also known as the Fulling–Davies–Unruh effect), the hypothetical prediction that an accelerating observer will observe a thermal bath, like blackbody radiation, whereas an inertial observer would observe none. It was described by Stephen Fulling in 1973, Paul Davies in 1975, and William Unruh in 1976.

1 vote
1 answer
87 views

Calculation of expectation of number of particle using Bogolubov transformation [closed]

we have two bases connected by Bogoljubov transformations. In the first basis, creation and annihilation operators are ($a,a^\dagger$) and in the second basis ($a',a'^\dagger$). They are connected by \...
Tanmoy Pati's user avatar
0 votes
1 answer
67 views

Proof probability distribution of number of particles seen in different basis connected by Bogoljubov transformation is Poissonian

Let we have two bases connected by Bogoljubov transformations. In the first basis, creation and annihilation operators are ($a,a^\dagger$) and in the second basis ($a',a'^\dagger$). They are connected ...
Tanmoy Pati's user avatar
1 vote
0 answers
23 views

Significance of non-zero cross energy-momentum tensor in Fulling Davies Unruh effect

In the Fulling Davies Unruh effect We can get the outgoing particle flux from the asymptotic future region $\mathscr{I}^+$ from the mirror trajectory as the following $$ \mathcal{F}=\int_0^\infty \...
Tanmoy Pati's user avatar
0 votes
0 answers
56 views

An example of the vacuum emitting photons?

Imagine we have two parallel wires with a potential difference of $V$ volts that form the opposite sides of a square of size $\lambda$. Any virtual electron-positron pairs that form between the wires ...
John Eastmond's user avatar
11 votes
1 answer
2k views

Does an electric field cause the vacuum to emit photons?

As I understand it electron-positron pairs pop in and out of the vacuum on a time scale $T$ inversely proportional to the electron mass. Imagine we put a static electric field across the vacuum. ...
John Eastmond's user avatar
2 votes
0 answers
141 views

Deriving Hawking temperature "from" Unruh effect and their relation

Let me recall some basic computational facts (the meaning of which I am trying to understand). In flat space, an adapted coordinate $(\tau, \xi)$ associated with an observer with constant proper ...
Lelouch's user avatar
  • 669
1 vote
2 answers
128 views

Do the null geodesics of photons emitted by Hawking radiation arise from the event horizon?

It is a well-known explanation of Hawking radiation that it originates from the quantum fluctuations near the horizon. Does it mean that one can look at the photons (part of the radiation) and follow ...
Lelouch's user avatar
  • 669
4 votes
0 answers
211 views

Carroll's derivation of Hawking radiation

In Carroll's Spacetime and Geometry: An Introduction to General Relativity, in his derivation of Hawking radiation Carroll makes the following statement: "as observed over length and timescales ...
user6314's user avatar
3 votes
0 answers
57 views

Lowering the Schwinger limit with superconductors while considering the Unruh effect?

Unruh Effect is often left out in calculations regarding the Schwinger limit. I've been looking at different mechanisms for more easily attaining the Schwinger limit. So far, the only thing I have ...
Jarod's user avatar
  • 31
2 votes
0 answers
157 views

Rindler decomposition using Euclidean path integral

In section 3.3 of Jerusalem Lectures on Black Holes and Quantum Information (arXiv:1409.1231), Daniel Harlow wants to calculate the following Euclidean path integral $$\langle\phi |\Omega\rangle\...
K. Sreeman Reddy's user avatar
4 votes
1 answer
456 views

How to derive the Unruh effect (or the thermofield double state) from the path integral?

I have been reading about the path integral approach to deriving the thermofield double state for the Minkowski vacuum in terms of the Rindler states: \begin{equation} \left|0_{M}(t=0)\right\rangle=\...
Kris's user avatar
  • 841
3 votes
1 answer
151 views

Questions about the Unruh effect derivation in Wald's QFT in curved spacetime

So I'm currently reading chapter 5 of Wald's book on QFT in curved spacetime and I'm terribly confused with the notation in the last steps of his Unruh effect derivation. Context: In eq. 5.1.26, he ...
Rafael Mancini's user avatar
1 vote
2 answers
153 views

Is the experimental evidence confirming black hole entropy or Unruh radiation?

The question says it all: how does Bekenstein–Hawking entropy or radiation fare when compared with observation? Or maybe just the idea of Unruh radiation?
user avatar
1 vote
1 answer
726 views

In the Unruh effect, where does the energy of the particles come from?

If you accelerate an object with constant acceleration, you will in effect create a black hole in the opposite direction in which you are traveling. This being due to light rays at a certain distance ...
user avatar
4 votes
1 answer
172 views

Does the count of particles depend on the observer?

The Lagrangian and Action, say in QED, is invariant to Lorentz boosts and independent of observers. (It’s possible to convert from a Lagrangian to the Hamiltonian view via a Legendre transform $H=vp-L$...
nemui's user avatar
  • 381

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