Can your landlord enter your apartment when you are not home enter your apartment when you are not home in England?

No he is not allowed to enter your home without your permission (given that you are paying rent and have a contract). Unless he suspects something to be wrong. Like a fire, water leak and stuff of that nature (that can damage the property). Even if the landlord is entering to fix something that you have reported to be broken he has to set a date with you or give you notice for the day of the repair.